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What is the Least Common Multiple of 55249 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 55249 and 55264 is 3053280736.

LCM(55249,55264) = 3053280736

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Least Common Multiple of 55249 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 55249 and 55264, than apply into the LCM equation.

GCF(55249,55264) = 1
LCM(55249,55264) = ( 55249 × 55264) / 1
LCM(55249,55264) = 3053280736 / 1
LCM(55249,55264) = 3053280736

Least Common Multiple (LCM) of 55249 and 55264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55249 and 55264. First we will calculate the prime factors of 55249 and 55264.

Prime Factorization of 55249

Prime factors of 55249 are 55249. Prime factorization of 55249 in exponential form is:

55249 = 552491

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 55249 and 55264.

LCM(55249,55264) = 552491 × 25 × 111 × 1571
LCM(55249,55264) = 3053280736