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What is the Least Common Multiple of 55936 and 55951?

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 55936 and 55951 is 3129675136.

LCM(55936,55951) = 3129675136

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Least Common Multiple of 55936 and 55951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55936 and 55951, than apply into the LCM equation.

GCF(55936,55951) = 1
LCM(55936,55951) = ( 55936 × 55951) / 1
LCM(55936,55951) = 3129675136 / 1
LCM(55936,55951) = 3129675136

Least Common Multiple (LCM) of 55936 and 55951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55936 and 55951. First we will calculate the prime factors of 55936 and 55951.

Prime Factorization of 55936

Prime factors of 55936 are 2, 19, 23. Prime factorization of 55936 in exponential form is:

55936 = 27 × 191 × 231

Prime Factorization of 55951

Prime factors of 55951 are 7, 7993. Prime factorization of 55951 in exponential form is:

55951 = 71 × 79931

Now multiplying the highest exponent prime factors to calculate the LCM of 55936 and 55951.

LCM(55936,55951) = 27 × 191 × 231 × 71 × 79931
LCM(55936,55951) = 3129675136