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What is the Least Common Multiple of 2721 and 2726?

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 2721 and 2726 is 7417446.

LCM(2721,2726) = 7417446

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Least Common Multiple of 2721 and 2726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2721 and 2726, than apply into the LCM equation.

GCF(2721,2726) = 1
LCM(2721,2726) = ( 2721 × 2726) / 1
LCM(2721,2726) = 7417446 / 1
LCM(2721,2726) = 7417446

Least Common Multiple (LCM) of 2721 and 2726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2721 and 2726. First we will calculate the prime factors of 2721 and 2726.

Prime Factorization of 2721

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

2721 = 31 × 9071

Prime Factorization of 2726

Prime factors of 2726 are 2, 29, 47. Prime factorization of 2726 in exponential form is:

2726 = 21 × 291 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2721 and 2726.

LCM(2721,2726) = 31 × 9071 × 21 × 291 × 471
LCM(2721,2726) = 7417446