Question

Write any 2 three digit numbers. Find their LCM and G.C.D. by prime factorization method.
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Answer 1

Prime factorization method - a method in which a number is expressed as product of the prime numbers.

Let the 2 three digit numbers be,

307 and 703

GCD:

The factors are:

307 = 1 × 307

703 = 1 × 19 × 37 × 703

Therefore, the G.C.D is 1.

LCM:

The factors are:

307 = 1 × 307

703 = 1 × 19 × 37 × 703

(307 × 703) / 1

= 215821 / 1

= 215821

Therefore, the L.C.M is 215821