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What is the Least Common Multiple of 56796 and 56806?

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 56796 and 56806 is 1613176788.

LCM(56796,56806) = 1613176788

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Least Common Multiple of 56796 and 56806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56796 and 56806, than apply into the LCM equation.

GCF(56796,56806) = 2
LCM(56796,56806) = ( 56796 × 56806) / 2
LCM(56796,56806) = 3226353576 / 2
LCM(56796,56806) = 1613176788

Least Common Multiple (LCM) of 56796 and 56806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56796 and 56806. First we will calculate the prime factors of 56796 and 56806.

Prime Factorization of 56796

Prime factors of 56796 are 2, 3, 4733. Prime factorization of 56796 in exponential form is:

56796 = 22 × 31 × 47331

Prime Factorization of 56806

Prime factors of 56806 are 2, 28403. Prime factorization of 56806 in exponential form is:

56806 = 21 × 284031

Now multiplying the highest exponent prime factors to calculate the LCM of 56796 and 56806.

LCM(56796,56806) = 22 × 31 × 47331 × 284031
LCM(56796,56806) = 1613176788