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What is the Least Common Multiple of 55259 and 55264?

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 55259 and 55264 is 3053833376.

LCM(55259,55264) = 3053833376

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Least Common Multiple of 55259 and 55264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55259 and 55264, than apply into the LCM equation.

GCF(55259,55264) = 1
LCM(55259,55264) = ( 55259 × 55264) / 1
LCM(55259,55264) = 3053833376 / 1
LCM(55259,55264) = 3053833376

Least Common Multiple (LCM) of 55259 and 55264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55259 and 55264. First we will calculate the prime factors of 55259 and 55264.

Prime Factorization of 55259

Prime factors of 55259 are 55259. Prime factorization of 55259 in exponential form is:

55259 = 552591

Prime Factorization of 55264

Prime factors of 55264 are 2, 11, 157. Prime factorization of 55264 in exponential form is:

55264 = 25 × 111 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 55259 and 55264.

LCM(55259,55264) = 552591 × 25 × 111 × 1571
LCM(55259,55264) = 3053833376