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What is the Least Common Multiple of 62885 and 62900?

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 62885 and 62900 is 791093300.

LCM(62885,62900) = 791093300

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Least Common Multiple of 62885 and 62900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62885 and 62900, than apply into the LCM equation.

GCF(62885,62900) = 5
LCM(62885,62900) = ( 62885 × 62900) / 5
LCM(62885,62900) = 3955466500 / 5
LCM(62885,62900) = 791093300

Least Common Multiple (LCM) of 62885 and 62900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62885 and 62900. First we will calculate the prime factors of 62885 and 62900.

Prime Factorization of 62885

Prime factors of 62885 are 5, 12577. Prime factorization of 62885 in exponential form is:

62885 = 51 × 125771

Prime Factorization of 62900

Prime factors of 62900 are 2, 5, 17, 37. Prime factorization of 62900 in exponential form is:

62900 = 22 × 52 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 62885 and 62900.

LCM(62885,62900) = 52 × 125771 × 22 × 171 × 371
LCM(62885,62900) = 791093300