Calculate LCM: Finding the Least Common Multiple of 9, 4, and 6

Question

Calculate the least common multiple (LCM) for these numbers:

9   4   6 \boxed{9} ~~~ \boxed{4} ~~~ \boxed{6}

Step-by-Step Solution

To find the least common multiple (LCM) of the numbers 9, 4, and 6, use their prime factors:

Prime factors of 9: 9=32 9 = 3^2

Prime factors of 4: 4=22 4 = 2^2

Prime factors of 6: 6=21×31 6 = 2^1 \times 3^1

The LCM is the product of the highest powers of all prime factors:

22×32=4×9=36 2^2 \times 3^2 = 4 \times 9 = 36

Answer

36

More Questions

Related Subjects

Common denominator

Question Types

Common Denominators: More than two fractions Common Denominators: The common denominator is smaller than the product of the denominators