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What is the Least Common Multiple of 62563 and 62572?

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 62563 and 62572 is 3914692036.

LCM(62563,62572) = 3914692036

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Least Common Multiple of 62563 and 62572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62563 and 62572, than apply into the LCM equation.

GCF(62563,62572) = 1
LCM(62563,62572) = ( 62563 × 62572) / 1
LCM(62563,62572) = 3914692036 / 1
LCM(62563,62572) = 3914692036

Least Common Multiple (LCM) of 62563 and 62572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62563 and 62572. First we will calculate the prime factors of 62563 and 62572.

Prime Factorization of 62563

Prime factors of 62563 are 62563. Prime factorization of 62563 in exponential form is:

62563 = 625631

Prime Factorization of 62572

Prime factors of 62572 are 2, 15643. Prime factorization of 62572 in exponential form is:

62572 = 22 × 156431

Now multiplying the highest exponent prime factors to calculate the LCM of 62563 and 62572.

LCM(62563,62572) = 625631 × 22 × 156431
LCM(62563,62572) = 3914692036