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What is the Least Common Multiple of 62627 and 62633?

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 62633 is 3922516891.

LCM(62627,62633) = 3922516891

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Least Common Multiple of 62627 and 62633 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 62633, than apply into the LCM equation.

GCF(62627,62633) = 1
LCM(62627,62633) = ( 62627 × 62633) / 1
LCM(62627,62633) = 3922516891 / 1
LCM(62627,62633) = 3922516891

Least Common Multiple (LCM) of 62627 and 62633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62627 and 62633. First we will calculate the prime factors of 62627 and 62633.

Prime Factorization of 62627

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

62627 = 626271

Prime Factorization of 62633

Prime factors of 62633 are 62633. Prime factorization of 62633 in exponential form is:

62633 = 626331

Now multiplying the highest exponent prime factors to calculate the LCM of 62627 and 62633.

LCM(62627,62633) = 626271 × 626331
LCM(62627,62633) = 3922516891