GCF and LCM Calculator Logo

What is the Least Common Multiple of 2729 and 2736?

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 2729 and 2736 is 7466544.

LCM(2729,2736) = 7466544

LCM Calculator and
and

Least Common Multiple of 2729 and 2736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2729 and 2736, than apply into the LCM equation.

GCF(2729,2736) = 1
LCM(2729,2736) = ( 2729 × 2736) / 1
LCM(2729,2736) = 7466544 / 1
LCM(2729,2736) = 7466544

Least Common Multiple (LCM) of 2729 and 2736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2729 and 2736. First we will calculate the prime factors of 2729 and 2736.

Prime Factorization of 2729

Prime factors of 2729 are 2729. Prime factorization of 2729 in exponential form is:

2729 = 27291

Prime Factorization of 2736

Prime factors of 2736 are 2, 3, 19. Prime factorization of 2736 in exponential form is:

2736 = 24 × 32 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 2729 and 2736.

LCM(2729,2736) = 27291 × 24 × 32 × 191
LCM(2729,2736) = 7466544