Find the Lowest Common Multiple (LCM) of 2² × 3 × 5² and 2³ × 3² × 5.

Correct Answer is : 23×32×522³ × 3² × 5²23×32×52

Correct Answer is : 23×32×522³ × 3² × 5²23×32×52

Test Index

BECE Mathematics 2012 Paper

Question : 3

Total: 40

2^2 \times 3 \times 5^2

2^3 \times 3^2 \times 5

Solution:

The Lowest Common Multiple (

\text{L C M}

) is the multiplication of each of the prime factors in their highest powers.

The prime factors are 2, 3 and 5

The highest power for the prime number 2 is 3

The highest power for the prime number 5 is 2

The highest power for the prime number 3 is 2

Lowest Common Multiple

(

LCM

)=2^3 \times 3^2 \times 5^2

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