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What is the Least Common Multiple of 55629 and 55635?

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 55629 and 55635 is 1031639805.

LCM(55629,55635) = 1031639805

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Least Common Multiple of 55629 and 55635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55629 and 55635, than apply into the LCM equation.

GCF(55629,55635) = 3
LCM(55629,55635) = ( 55629 × 55635) / 3
LCM(55629,55635) = 3094919415 / 3
LCM(55629,55635) = 1031639805

Least Common Multiple (LCM) of 55629 and 55635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55629 and 55635. First we will calculate the prime factors of 55629 and 55635.

Prime Factorization of 55629

Prime factors of 55629 are 3, 7, 883. Prime factorization of 55629 in exponential form is:

55629 = 32 × 71 × 8831

Prime Factorization of 55635

Prime factors of 55635 are 3, 5, 3709. Prime factorization of 55635 in exponential form is:

55635 = 31 × 51 × 37091

Now multiplying the highest exponent prime factors to calculate the LCM of 55629 and 55635.

LCM(55629,55635) = 32 × 71 × 8831 × 51 × 37091
LCM(55629,55635) = 1031639805