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What is the Least Common Multiple of 62637 and 62655?

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 62637 and 62655 is 1308173745.

LCM(62637,62655) = 1308173745

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Least Common Multiple of 62637 and 62655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62637 and 62655, than apply into the LCM equation.

GCF(62637,62655) = 3
LCM(62637,62655) = ( 62637 × 62655) / 3
LCM(62637,62655) = 3924521235 / 3
LCM(62637,62655) = 1308173745

Least Common Multiple (LCM) of 62637 and 62655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62637 and 62655. First we will calculate the prime factors of 62637 and 62655.

Prime Factorization of 62637

Prime factors of 62637 are 3, 20879. Prime factorization of 62637 in exponential form is:

62637 = 31 × 208791

Prime Factorization of 62655

Prime factors of 62655 are 3, 5, 4177. Prime factorization of 62655 in exponential form is:

62655 = 31 × 51 × 41771

Now multiplying the highest exponent prime factors to calculate the LCM of 62637 and 62655.

LCM(62637,62655) = 31 × 208791 × 51 × 41771
LCM(62637,62655) = 1308173745