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What is the Least Common Multiple of 55629 and 55640?

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 55640 is 3095197560.

LCM(55629,55640) = 3095197560

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Least Common Multiple of 55629 and 55640 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 55640, than apply into the LCM equation.

GCF(55629,55640) = 1
LCM(55629,55640) = ( 55629 × 55640) / 1
LCM(55629,55640) = 3095197560 / 1
LCM(55629,55640) = 3095197560

Least Common Multiple (LCM) of 55629 and 55640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55629 and 55640. First we will calculate the prime factors of 55629 and 55640.

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 55640

Prime factors of 55640 are 2, 5, 13, 107. Prime factorization of 55640 in exponential form is:

55640 = 23 × 51 × 131 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 55629 and 55640.

LCM(55629,55640) = 32 × 71 × 8831 × 23 × 51 × 131 × 1071
LCM(55629,55640) = 3095197560