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What is the Least Common Multiple of 55907 and 55917?

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 55907 and 55917 is 3126151719.

LCM(55907,55917) = 3126151719

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Least Common Multiple of 55907 and 55917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55907 and 55917, than apply into the LCM equation.

GCF(55907,55917) = 1
LCM(55907,55917) = ( 55907 × 55917) / 1
LCM(55907,55917) = 3126151719 / 1
LCM(55907,55917) = 3126151719

Least Common Multiple (LCM) of 55907 and 55917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55907 and 55917. First we will calculate the prime factors of 55907 and 55917.

Prime Factorization of 55907

Prime factors of 55907 are 37, 1511. Prime factorization of 55907 in exponential form is:

55907 = 371 × 15111

Prime Factorization of 55917

Prime factors of 55917 are 3, 19, 109. Prime factorization of 55917 in exponential form is:

55917 = 33 × 191 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 55907 and 55917.

LCM(55907,55917) = 371 × 15111 × 33 × 191 × 1091
LCM(55907,55917) = 3126151719