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What is the Least Common Multiple of 55865 and 55875?

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 55865 and 55875 is 624291375.

LCM(55865,55875) = 624291375

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Least Common Multiple of 55865 and 55875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55865 and 55875, than apply into the LCM equation.

GCF(55865,55875) = 5
LCM(55865,55875) = ( 55865 × 55875) / 5
LCM(55865,55875) = 3121456875 / 5
LCM(55865,55875) = 624291375

Least Common Multiple (LCM) of 55865 and 55875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55865 and 55875. First we will calculate the prime factors of 55865 and 55875.

Prime Factorization of 55865

Prime factors of 55865 are 5, 11173. Prime factorization of 55865 in exponential form is:

55865 = 51 × 111731

Prime Factorization of 55875

Prime factors of 55875 are 3, 5, 149. Prime factorization of 55875 in exponential form is:

55875 = 31 × 53 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 55865 and 55875.

LCM(55865,55875) = 53 × 111731 × 31 × 1491
LCM(55865,55875) = 624291375