Question

N₁ = 2³ × 3⁴ × 5⁵ & N₂ = 2² × 3³ × 5^6. Find the least common factor(LCM) of N₁ & N₂.

1. 23 × 34 × 5⁶
2. 23 × 34 × 55
3. 2² × 3³ × 5⁶
4. 23 × 3³ × 55

Answer 1

Correct Answer - Option 1 : 23 × 34 × 5⁶

Given:

N1 = 23 × 34 × 55 & N2 = 22 × 33 × 5⁶

Concept used:

Take maximum power of each prime factor.

Explanation:

Maximum power of '2' is 3.

Maximum power of '3' is 4.

Maximum power of '5' is 6.

∴ The Lowest Common Multiple is 23 × 34 × 5⁶.