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What is the Least Common Multiple of 56877 and 56895?

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 56877 and 56895 is 1078672305.

LCM(56877,56895) = 1078672305

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Least Common Multiple of 56877 and 56895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56877 and 56895, than apply into the LCM equation.

GCF(56877,56895) = 3
LCM(56877,56895) = ( 56877 × 56895) / 3
LCM(56877,56895) = 3236016915 / 3
LCM(56877,56895) = 1078672305

Least Common Multiple (LCM) of 56877 and 56895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56877 and 56895. First we will calculate the prime factors of 56877 and 56895.

Prime Factorization of 56877

Prime factors of 56877 are 3, 18959. Prime factorization of 56877 in exponential form is:

56877 = 31 × 189591

Prime Factorization of 56895

Prime factors of 56895 are 3, 5, 3793. Prime factorization of 56895 in exponential form is:

56895 = 31 × 51 × 37931

Now multiplying the highest exponent prime factors to calculate the LCM of 56877 and 56895.

LCM(56877,56895) = 31 × 189591 × 51 × 37931
LCM(56877,56895) = 1078672305