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What is the Least Common Multiple of 55485 and 55504?

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 55485 and 55504 is 3079639440.

LCM(55485,55504) = 3079639440

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Least Common Multiple of 55485 and 55504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55485 and 55504, than apply into the LCM equation.

GCF(55485,55504) = 1
LCM(55485,55504) = ( 55485 × 55504) / 1
LCM(55485,55504) = 3079639440 / 1
LCM(55485,55504) = 3079639440

Least Common Multiple (LCM) of 55485 and 55504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55485 and 55504. First we will calculate the prime factors of 55485 and 55504.

Prime Factorization of 55485

Prime factors of 55485 are 3, 5, 137. Prime factorization of 55485 in exponential form is:

55485 = 34 × 51 × 1371

Prime Factorization of 55504

Prime factors of 55504 are 2, 3469. Prime factorization of 55504 in exponential form is:

55504 = 24 × 34691

Now multiplying the highest exponent prime factors to calculate the LCM of 55485 and 55504.

LCM(55485,55504) = 34 × 51 × 1371 × 24 × 34691
LCM(55485,55504) = 3079639440