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What is the Least Common Multiple of 56851 and 56856?

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 56851 and 56856 is 3232320456.

LCM(56851,56856) = 3232320456

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Least Common Multiple of 56851 and 56856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56851 and 56856, than apply into the LCM equation.

GCF(56851,56856) = 1
LCM(56851,56856) = ( 56851 × 56856) / 1
LCM(56851,56856) = 3232320456 / 1
LCM(56851,56856) = 3232320456

Least Common Multiple (LCM) of 56851 and 56856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56851 and 56856. First we will calculate the prime factors of 56851 and 56856.

Prime Factorization of 56851

Prime factors of 56851 are 139, 409. Prime factorization of 56851 in exponential form is:

56851 = 1391 × 4091

Prime Factorization of 56856

Prime factors of 56856 are 2, 3, 23, 103. Prime factorization of 56856 in exponential form is:

56856 = 23 × 31 × 231 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 56851 and 56856.

LCM(56851,56856) = 1391 × 4091 × 23 × 31 × 231 × 1031
LCM(56851,56856) = 3232320456