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What is the Least Common Multiple of 62627 and 62635?

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 62627 and 62635 is 3922642145.

LCM(62627,62635) = 3922642145

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Least Common Multiple of 62627 and 62635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62627 and 62635, than apply into the LCM equation.

GCF(62627,62635) = 1
LCM(62627,62635) = ( 62627 × 62635) / 1
LCM(62627,62635) = 3922642145 / 1
LCM(62627,62635) = 3922642145

Least Common Multiple (LCM) of 62627 and 62635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62627 and 62635. First we will calculate the prime factors of 62627 and 62635.

Prime Factorization of 62627

Prime factors of 62627 are 62627. Prime factorization of 62627 in exponential form is:

62627 = 626271

Prime Factorization of 62635

Prime factors of 62635 are 5, 12527. Prime factorization of 62635 in exponential form is:

62635 = 51 × 125271

Now multiplying the highest exponent prime factors to calculate the LCM of 62627 and 62635.

LCM(62627,62635) = 626271 × 51 × 125271
LCM(62627,62635) = 3922642145