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What is the Least Common Multiple of 56059 and 56078?

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 56059 and 56078 is 3143676602.

LCM(56059,56078) = 3143676602

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Least Common Multiple of 56059 and 56078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56059 and 56078, than apply into the LCM equation.

GCF(56059,56078) = 1
LCM(56059,56078) = ( 56059 × 56078) / 1
LCM(56059,56078) = 3143676602 / 1
LCM(56059,56078) = 3143676602

Least Common Multiple (LCM) of 56059 and 56078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56059 and 56078. First we will calculate the prime factors of 56059 and 56078.

Prime Factorization of 56059

Prime factors of 56059 are 61, 919. Prime factorization of 56059 in exponential form is:

56059 = 611 × 9191

Prime Factorization of 56078

Prime factors of 56078 are 2, 11, 2549. Prime factorization of 56078 in exponential form is:

56078 = 21 × 111 × 25491

Now multiplying the highest exponent prime factors to calculate the LCM of 56059 and 56078.

LCM(56059,56078) = 611 × 9191 × 21 × 111 × 25491
LCM(56059,56078) = 3143676602