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What is the Least Common Multiple of 4792 and 4796?

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 4792 and 4796 is 5745608.

LCM(4792,4796) = 5745608

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Least Common Multiple of 4792 and 4796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4792 and 4796, than apply into the LCM equation.

GCF(4792,4796) = 4
LCM(4792,4796) = ( 4792 × 4796) / 4
LCM(4792,4796) = 22982432 / 4
LCM(4792,4796) = 5745608

Least Common Multiple (LCM) of 4792 and 4796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4792 and 4796. First we will calculate the prime factors of 4792 and 4796.

Prime Factorization of 4792

Prime factors of 4792 are 2, 599. Prime factorization of 4792 in exponential form is:

4792 = 23 × 5991

Prime Factorization of 4796

Prime factors of 4796 are 2, 11, 109. Prime factorization of 4796 in exponential form is:

4796 = 22 × 111 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4792 and 4796.

LCM(4792,4796) = 23 × 5991 × 111 × 1091
LCM(4792,4796) = 5745608