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What is the Least Common Multiple of 56796 and 56807?

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 56807 is 3226410372.

LCM(56796,56807) = 3226410372

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Least Common Multiple of 56796 and 56807 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 56807, than apply into the LCM equation.

GCF(56796,56807) = 1
LCM(56796,56807) = ( 56796 × 56807) / 1
LCM(56796,56807) = 3226410372 / 1
LCM(56796,56807) = 3226410372

Least Common Multiple (LCM) of 56796 and 56807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56796 and 56807. First we will calculate the prime factors of 56796 and 56807.

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 56807

Prime factors of 56807 are 56807. Prime factorization of 56807 in exponential form is:

56807 = 568071

Now multiplying the highest exponent prime factors to calculate the LCM of 56796 and 56807.

LCM(56796,56807) = 22 × 31 × 47331 × 568071
LCM(56796,56807) = 3226410372