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What is the Least Common Multiple of 55260 and 55276?

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 55260 and 55276 is 763637940.

LCM(55260,55276) = 763637940

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Least Common Multiple of 55260 and 55276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55260 and 55276, than apply into the LCM equation.

GCF(55260,55276) = 4
LCM(55260,55276) = ( 55260 × 55276) / 4
LCM(55260,55276) = 3054551760 / 4
LCM(55260,55276) = 763637940

Least Common Multiple (LCM) of 55260 and 55276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55260 and 55276. First we will calculate the prime factors of 55260 and 55276.

Prime Factorization of 55260

Prime factors of 55260 are 2, 3, 5, 307. Prime factorization of 55260 in exponential form is:

55260 = 22 × 32 × 51 × 3071

Prime Factorization of 55276

Prime factors of 55276 are 2, 13, 1063. Prime factorization of 55276 in exponential form is:

55276 = 22 × 131 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 55260 and 55276.

LCM(55260,55276) = 22 × 32 × 51 × 3071 × 131 × 10631
LCM(55260,55276) = 763637940