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What is the Least Common Multiple of 55096 and 55108?

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 55096 and 55108 is 759057592.

LCM(55096,55108) = 759057592

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Least Common Multiple of 55096 and 55108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55096 and 55108, than apply into the LCM equation.

GCF(55096,55108) = 4
LCM(55096,55108) = ( 55096 × 55108) / 4
LCM(55096,55108) = 3036230368 / 4
LCM(55096,55108) = 759057592

Least Common Multiple (LCM) of 55096 and 55108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55096 and 55108. First we will calculate the prime factors of 55096 and 55108.

Prime Factorization of 55096

Prime factors of 55096 are 2, 71, 97. Prime factorization of 55096 in exponential form is:

55096 = 23 × 711 × 971

Prime Factorization of 55108

Prime factors of 55108 are 2, 23, 599. Prime factorization of 55108 in exponential form is:

55108 = 22 × 231 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 55096 and 55108.

LCM(55096,55108) = 23 × 711 × 971 × 231 × 5991
LCM(55096,55108) = 759057592