Question

72 = 2³ x 3²

150 = 2 × 3 × 5²
Work out the lowest common
multiple of 72 and 150, giving
your answer in prime factor form.

Answer 1

1800

Explanation:

You want the least common multiple (LCM) of 72 and 150 given their prime factorizations:

• 72 = 2³ × 3²
• 150 = 2 × 3 × 5²

Least Common Multiple

The LCM is found as follows:

1. Identify the unique prime factors (2, 3, 5)
2. Identify the highest power of each (3, 2, 2)
3. Raise those factors to those power to get the LCM

LCM(72, 150) = 2³ × 3² × 5² = 1800