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What is the Least Common Multiple of 62567 and 62575?

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 62575 is 3915130025.

LCM(62567,62575) = 3915130025

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Least Common Multiple of 62567 and 62575 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 62575, than apply into the LCM equation.

GCF(62567,62575) = 1
LCM(62567,62575) = ( 62567 × 62575) / 1
LCM(62567,62575) = 3915130025 / 1
LCM(62567,62575) = 3915130025

Least Common Multiple (LCM) of 62567 and 62575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62567 and 62575. First we will calculate the prime factors of 62567 and 62575.

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 62575

Prime factors of 62575 are 5, 2503. Prime factorization of 62575 in exponential form is:

62575 = 52 × 25031

Now multiplying the highest exponent prime factors to calculate the LCM of 62567 and 62575.

LCM(62567,62575) = 191 × 371 × 891 × 52 × 25031
LCM(62567,62575) = 3915130025