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What is the Least Common Multiple of 62662 and 62675?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 62662 and 62675 is 3927340850.

LCM(62662,62675) = 3927340850

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Least Common Multiple of 62662 and 62675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62662 and 62675, than apply into the LCM equation.

GCF(62662,62675) = 1
LCM(62662,62675) = ( 62662 × 62675) / 1
LCM(62662,62675) = 3927340850 / 1
LCM(62662,62675) = 3927340850

Least Common Multiple (LCM) of 62662 and 62675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62662 and 62675. First we will calculate the prime factors of 62662 and 62675.

Prime Factorization of 62662

Prime factors of 62662 are 2, 17, 19, 97. Prime factorization of 62662 in exponential form is:

62662 = 21 × 171 × 191 × 971

Prime Factorization of 62675

Prime factors of 62675 are 5, 23, 109. Prime factorization of 62675 in exponential form is:

62675 = 52 × 231 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 62662 and 62675.

LCM(62662,62675) = 21 × 171 × 191 × 971 × 52 × 231 × 1091
LCM(62662,62675) = 3927340850