Question

Find LCM of numbers whose prime factorisation are expressible as 3 × 52 and 32 × 72.

Answer 1

Answer:

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Step-by-step explanation:

LCM (Least Common Factor) is the multiplication of highest powers of the all the numbers.

Let, the numbers be x and y.

A/q

x = 3 × 5 × 5 = 3¹ × 5²

y = 3 × 3 × 7 × 7 = 3² × 7²

Highest powers of 3 = 3²

Highest power of 5 = 5²

Highest power of 7 = 7

LCM = 3² × 5² × 7² = 9 × 25 × 49 = 11025

Hence,

LCM(x, y) = 11025

Answer 2

Step-by-step explanation:

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