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What is the Least Common Multiple of 55508 and 55521?

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 55508 and 55521 is 3081859668.

LCM(55508,55521) = 3081859668

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Least Common Multiple of 55508 and 55521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55508 and 55521, than apply into the LCM equation.

GCF(55508,55521) = 1
LCM(55508,55521) = ( 55508 × 55521) / 1
LCM(55508,55521) = 3081859668 / 1
LCM(55508,55521) = 3081859668

Least Common Multiple (LCM) of 55508 and 55521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55508 and 55521. First we will calculate the prime factors of 55508 and 55521.

Prime Factorization of 55508

Prime factors of 55508 are 2, 13877. Prime factorization of 55508 in exponential form is:

55508 = 22 × 138771

Prime Factorization of 55521

Prime factors of 55521 are 3, 31, 199. Prime factorization of 55521 in exponential form is:

55521 = 32 × 311 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 55508 and 55521.

LCM(55508,55521) = 22 × 138771 × 32 × 311 × 1991
LCM(55508,55521) = 3081859668