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What is the Least Common Multiple of 4806 and 4812?

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 4806 and 4812 is 3854412.

LCM(4806,4812) = 3854412

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Least Common Multiple of 4806 and 4812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4806 and 4812, than apply into the LCM equation.

GCF(4806,4812) = 6
LCM(4806,4812) = ( 4806 × 4812) / 6
LCM(4806,4812) = 23126472 / 6
LCM(4806,4812) = 3854412

Least Common Multiple (LCM) of 4806 and 4812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4806 and 4812. First we will calculate the prime factors of 4806 and 4812.

Prime Factorization of 4806

Prime factors of 4806 are 2, 3, 89. Prime factorization of 4806 in exponential form is:

4806 = 21 × 33 × 891

Prime Factorization of 4812

Prime factors of 4812 are 2, 3, 401. Prime factorization of 4812 in exponential form is:

4812 = 22 × 31 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 4806 and 4812.

LCM(4806,4812) = 22 × 33 × 891 × 4011
LCM(4806,4812) = 3854412