GCF and LCM Calculator Logo

What is the Least Common Multiple of 2727 and 2731?

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 2727 and 2731 is 7447437.

LCM(2727,2731) = 7447437

LCM Calculator and
and

Least Common Multiple of 2727 and 2731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2727 and 2731, than apply into the LCM equation.

GCF(2727,2731) = 1
LCM(2727,2731) = ( 2727 × 2731) / 1
LCM(2727,2731) = 7447437 / 1
LCM(2727,2731) = 7447437

Least Common Multiple (LCM) of 2727 and 2731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2727 and 2731. First we will calculate the prime factors of 2727 and 2731.

Prime Factorization of 2727

Prime factors of 2727 are 3, 101. Prime factorization of 2727 in exponential form is:

2727 = 33 × 1011

Prime Factorization of 2731

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

2731 = 27311

Now multiplying the highest exponent prime factors to calculate the LCM of 2727 and 2731.

LCM(2727,2731) = 33 × 1011 × 27311
LCM(2727,2731) = 7447437