What is the least common multiple (LCM) of 4 and 6?

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Multiple Choice

What is the least common multiple (LCM) of 4 and 6?

Explanation:
To determine the least common multiple (LCM) of 4 and 6, we begin by identifying the multiples of each number. The multiples of 4 are: 4, 8, 12, 16, 20, and so forth. The multiples of 6 are: 6, 12, 18, 24, and so forth. Next, we look for the smallest multiple that appears in both lists. The first common multiple between these two sets is 12. Therefore, the LCM of 4 and 6 is 12. The LCM is important because it represents the smallest number into which both original numbers can be divided without a remainder, and in this case, 12 is divisible by both 4 and 6 (4 goes into 12 three times, and 6 goes into 12 two times). This understanding of LCM is crucial in various areas of mathematics, including solving problems that involve adding or subtracting fractions with different denominators. By finding the LCM, you can efficiently determine a common denominator, ensuring accurate calculations.

To determine the least common multiple (LCM) of 4 and 6, we begin by identifying the multiples of each number.

The multiples of 4 are: 4, 8, 12, 16, 20, and so forth.

The multiples of 6 are: 6, 12, 18, 24, and so forth.

Next, we look for the smallest multiple that appears in both lists. The first common multiple between these two sets is 12. Therefore, the LCM of 4 and 6 is 12.

The LCM is important because it represents the smallest number into which both original numbers can be divided without a remainder, and in this case, 12 is divisible by both 4 and 6 (4 goes into 12 three times, and 6 goes into 12 two times).

This understanding of LCM is crucial in various areas of mathematics, including solving problems that involve adding or subtracting fractions with different denominators. By finding the LCM, you can efficiently determine a common denominator, ensuring accurate calculations.

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