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What is the Least Common Multiple of 55604 and 55613?

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 55604 and 55613 is 3092305252.

LCM(55604,55613) = 3092305252

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Least Common Multiple of 55604 and 55613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55604 and 55613, than apply into the LCM equation.

GCF(55604,55613) = 1
LCM(55604,55613) = ( 55604 × 55613) / 1
LCM(55604,55613) = 3092305252 / 1
LCM(55604,55613) = 3092305252

Least Common Multiple (LCM) of 55604 and 55613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55604 and 55613. First we will calculate the prime factors of 55604 and 55613.

Prime Factorization of 55604

Prime factors of 55604 are 2, 13901. Prime factorization of 55604 in exponential form is:

55604 = 22 × 139011

Prime Factorization of 55613

Prime factors of 55613 are 19, 2927. Prime factorization of 55613 in exponential form is:

55613 = 191 × 29271

Now multiplying the highest exponent prime factors to calculate the LCM of 55604 and 55613.

LCM(55604,55613) = 22 × 139011 × 191 × 29271
LCM(55604,55613) = 3092305252