Question

Find lcm of numbers whose prime factorization are expressible as 3×5×5 and 3×3 ×7×7

Answer 1

75=3×5×5
441=3×3×7×7×
req.LCM=3×3×5×5×7×7
=11025.

Answer 2

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 = 7²

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

Hence,

LCM(x, y) = 11025

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