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What is the Least Common Multiple of 2731 and 2738?

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 2731 and 2738 is 7477478.

LCM(2731,2738) = 7477478

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Least Common Multiple of 2731 and 2738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2731 and 2738, than apply into the LCM equation.

GCF(2731,2738) = 1
LCM(2731,2738) = ( 2731 × 2738) / 1
LCM(2731,2738) = 7477478 / 1
LCM(2731,2738) = 7477478

Least Common Multiple (LCM) of 2731 and 2738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2731 and 2738. First we will calculate the prime factors of 2731 and 2738.

Prime Factorization of 2731

Prime factors of 2731 are 2731. Prime factorization of 2731 in exponential form is:

2731 = 27311

Prime Factorization of 2738

Prime factors of 2738 are 2, 37. Prime factorization of 2738 in exponential form is:

2738 = 21 × 372

Now multiplying the highest exponent prime factors to calculate the LCM of 2731 and 2738.

LCM(2731,2738) = 27311 × 21 × 372
LCM(2731,2738) = 7477478