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What is the Least Common Multiple of 55088 and 55096?

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 55088 and 55096 is 379391056.

LCM(55088,55096) = 379391056

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Least Common Multiple of 55088 and 55096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55088 and 55096, than apply into the LCM equation.

GCF(55088,55096) = 8
LCM(55088,55096) = ( 55088 × 55096) / 8
LCM(55088,55096) = 3035128448 / 8
LCM(55088,55096) = 379391056

Least Common Multiple (LCM) of 55088 and 55096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55088 and 55096. First we will calculate the prime factors of 55088 and 55096.

Prime Factorization of 55088

Prime factors of 55088 are 2, 11, 313. Prime factorization of 55088 in exponential form is:

55088 = 24 × 111 × 3131

Prime Factorization of 55096

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

55096 = 23 × 711 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 55088 and 55096.

LCM(55088,55096) = 24 × 111 × 3131 × 711 × 971
LCM(55088,55096) = 379391056