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What is the Least Common Multiple of 55144 and 55152?

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 55144 and 55152 is 380162736.

LCM(55144,55152) = 380162736

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Least Common Multiple of 55144 and 55152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55144 and 55152, than apply into the LCM equation.

GCF(55144,55152) = 8
LCM(55144,55152) = ( 55144 × 55152) / 8
LCM(55144,55152) = 3041301888 / 8
LCM(55144,55152) = 380162736

Least Common Multiple (LCM) of 55144 and 55152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55144 and 55152. First we will calculate the prime factors of 55144 and 55152.

Prime Factorization of 55144

Prime factors of 55144 are 2, 61, 113. Prime factorization of 55144 in exponential form is:

55144 = 23 × 611 × 1131

Prime Factorization of 55152

Prime factors of 55152 are 2, 3, 383. Prime factorization of 55152 in exponential form is:

55152 = 24 × 32 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 55144 and 55152.

LCM(55144,55152) = 24 × 611 × 1131 × 32 × 3831
LCM(55144,55152) = 380162736