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What is the Least Common Multiple of 55584 and 55604?

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 55584 and 55604 is 772673184.

LCM(55584,55604) = 772673184

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Least Common Multiple of 55584 and 55604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55584 and 55604, than apply into the LCM equation.

GCF(55584,55604) = 4
LCM(55584,55604) = ( 55584 × 55604) / 4
LCM(55584,55604) = 3090692736 / 4
LCM(55584,55604) = 772673184

Least Common Multiple (LCM) of 55584 and 55604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55584 and 55604. First we will calculate the prime factors of 55584 and 55604.

Prime Factorization of 55584

Prime factors of 55584 are 2, 3, 193. Prime factorization of 55584 in exponential form is:

55584 = 25 × 32 × 1931

Prime Factorization of 55604

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

55604 = 22 × 139011

Now multiplying the highest exponent prime factors to calculate the LCM of 55584 and 55604.

LCM(55584,55604) = 25 × 32 × 1931 × 139011
LCM(55584,55604) = 772673184