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What is the Least Common Multiple of 2715 and 2721?

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 2715 and 2721 is 2462505.

LCM(2715,2721) = 2462505

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Least Common Multiple of 2715 and 2721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2715 and 2721, than apply into the LCM equation.

GCF(2715,2721) = 3
LCM(2715,2721) = ( 2715 × 2721) / 3
LCM(2715,2721) = 7387515 / 3
LCM(2715,2721) = 2462505

Least Common Multiple (LCM) of 2715 and 2721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2715 and 2721. First we will calculate the prime factors of 2715 and 2721.

Prime Factorization of 2715

Prime factors of 2715 are 3, 5, 181. Prime factorization of 2715 in exponential form is:

2715 = 31 × 51 × 1811

Prime Factorization of 2721

Prime factors of 2721 are 3, 907. Prime factorization of 2721 in exponential form is:

2721 = 31 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 2715 and 2721.

LCM(2715,2721) = 31 × 51 × 1811 × 9071
LCM(2715,2721) = 2462505