What is the Least Common Multiple of 2712 and 2729?

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 of 2712 and 2729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2712 and 2729, than apply into the LCM equation.

GCF(2712,2729) = 1
LCM(2712,2729) = ( 2712 × 2729) / 1
LCM(2712,2729) = 7401048 / 1
LCM(2712,2729) = 7401048

Least Common Multiple (LCM) of 2712 and 2729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2712 and 2729. First we will calculate the prime factors of 2712 and 2729.

Prime Factorization of 2712

Prime Factorization of 2729

Now multiplying the highest exponent prime factors to calculate the LCM of 2712 and 2729.

LCM(2712,2729) = 2³ × 3¹ × 113¹ × 2729¹
LCM(2712,2729) = 7401048