GCF and LCM Calculator Logo

What is the Least Common Multiple of 2739 and 2752?

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 2739 and 2752 is 7537728.

LCM(2739,2752) = 7537728

LCM Calculator and
and

Least Common Multiple of 2739 and 2752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2739 and 2752, than apply into the LCM equation.

GCF(2739,2752) = 1
LCM(2739,2752) = ( 2739 × 2752) / 1
LCM(2739,2752) = 7537728 / 1
LCM(2739,2752) = 7537728

Least Common Multiple (LCM) of 2739 and 2752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2739 and 2752. First we will calculate the prime factors of 2739 and 2752.

Prime Factorization of 2739

Prime factors of 2739 are 3, 11, 83. Prime factorization of 2739 in exponential form is:

2739 = 31 × 111 × 831

Prime Factorization of 2752

Prime factors of 2752 are 2, 43. Prime factorization of 2752 in exponential form is:

2752 = 26 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 2739 and 2752.

LCM(2739,2752) = 31 × 111 × 831 × 26 × 431
LCM(2739,2752) = 7537728