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What is the Least Common Multiple of 55577 and 55596?

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 55577 and 55596 is 3089858892.

LCM(55577,55596) = 3089858892

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Least Common Multiple of 55577 and 55596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55577 and 55596, than apply into the LCM equation.

GCF(55577,55596) = 1
LCM(55577,55596) = ( 55577 × 55596) / 1
LCM(55577,55596) = 3089858892 / 1
LCM(55577,55596) = 3089858892

Least Common Multiple (LCM) of 55577 and 55596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55577 and 55596. First we will calculate the prime factors of 55577 and 55596.

Prime Factorization of 55577

Prime factors of 55577 are 149, 373. Prime factorization of 55577 in exponential form is:

55577 = 1491 × 3731

Prime Factorization of 55596

Prime factors of 55596 are 2, 3, 41, 113. Prime factorization of 55596 in exponential form is:

55596 = 22 × 31 × 411 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 55577 and 55596.

LCM(55577,55596) = 1491 × 3731 × 22 × 31 × 411 × 1131
LCM(55577,55596) = 3089858892