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What is the Least Common Multiple of 62567 and 62587?

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 62567 and 62587 is 3915880829.

LCM(62567,62587) = 3915880829

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Least Common Multiple of 62567 and 62587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62567 and 62587, than apply into the LCM equation.

GCF(62567,62587) = 1
LCM(62567,62587) = ( 62567 × 62587) / 1
LCM(62567,62587) = 3915880829 / 1
LCM(62567,62587) = 3915880829

Least Common Multiple (LCM) of 62567 and 62587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62567 and 62587. First we will calculate the prime factors of 62567 and 62587.

Prime Factorization of 62567

Prime factors of 62567 are 19, 37, 89. Prime factorization of 62567 in exponential form is:

62567 = 191 × 371 × 891

Prime Factorization of 62587

Prime factors of 62587 are 7, 8941. Prime factorization of 62587 in exponential form is:

62587 = 71 × 89411

Now multiplying the highest exponent prime factors to calculate the LCM of 62567 and 62587.

LCM(62567,62587) = 191 × 371 × 891 × 71 × 89411
LCM(62567,62587) = 3915880829