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What is the Least Common Multiple of 2992 and 3006?

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 2992 and 3006 is 4496976.

LCM(2992,3006) = 4496976

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Least Common Multiple of 2992 and 3006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2992 and 3006, than apply into the LCM equation.

GCF(2992,3006) = 2
LCM(2992,3006) = ( 2992 × 3006) / 2
LCM(2992,3006) = 8993952 / 2
LCM(2992,3006) = 4496976

Least Common Multiple (LCM) of 2992 and 3006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2992 and 3006. First we will calculate the prime factors of 2992 and 3006.

Prime Factorization of 2992

Prime factors of 2992 are 2, 11, 17. Prime factorization of 2992 in exponential form is:

2992 = 24 × 111 × 171

Prime Factorization of 3006

Prime factors of 3006 are 2, 3, 167. Prime factorization of 3006 in exponential form is:

3006 = 21 × 32 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 2992 and 3006.

LCM(2992,3006) = 24 × 111 × 171 × 32 × 1671
LCM(2992,3006) = 4496976