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What is the Least Common Multiple of 2707 and 2724?

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 2707 and 2724 is 7373868.

LCM(2707,2724) = 7373868

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Least Common Multiple of 2707 and 2724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2707 and 2724, than apply into the LCM equation.

GCF(2707,2724) = 1
LCM(2707,2724) = ( 2707 × 2724) / 1
LCM(2707,2724) = 7373868 / 1
LCM(2707,2724) = 7373868

Least Common Multiple (LCM) of 2707 and 2724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2707 and 2724. First we will calculate the prime factors of 2707 and 2724.

Prime Factorization of 2707

Prime factors of 2707 are 2707. Prime factorization of 2707 in exponential form is:

2707 = 27071

Prime Factorization of 2724

Prime factors of 2724 are 2, 3, 227. Prime factorization of 2724 in exponential form is:

2724 = 22 × 31 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2707 and 2724.

LCM(2707,2724) = 27071 × 22 × 31 × 2271
LCM(2707,2724) = 7373868