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What is the Least Common Multiple of 62579 and 62588?

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 62579 and 62588 is 3916694452.

LCM(62579,62588) = 3916694452

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Least Common Multiple of 62579 and 62588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62579 and 62588, than apply into the LCM equation.

GCF(62579,62588) = 1
LCM(62579,62588) = ( 62579 × 62588) / 1
LCM(62579,62588) = 3916694452 / 1
LCM(62579,62588) = 3916694452

Least Common Multiple (LCM) of 62579 and 62588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62579 and 62588. First we will calculate the prime factors of 62579 and 62588.

Prime Factorization of 62579

Prime factors of 62579 are 11, 5689. Prime factorization of 62579 in exponential form is:

62579 = 111 × 56891

Prime Factorization of 62588

Prime factors of 62588 are 2, 15647. Prime factorization of 62588 in exponential form is:

62588 = 22 × 156471

Now multiplying the highest exponent prime factors to calculate the LCM of 62579 and 62588.

LCM(62579,62588) = 111 × 56891 × 22 × 156471
LCM(62579,62588) = 3916694452