What is the Least Common Multiple of 2738 and 2746?

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 2738 and 2746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2738 and 2746, than apply into the LCM equation.

GCF(2738,2746) = 2
LCM(2738,2746) = ( 2738 × 2746) / 2
LCM(2738,2746) = 7518548 / 2
LCM(2738,2746) = 3759274

Least Common Multiple (LCM) of 2738 and 2746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2738 and 2746. First we will calculate the prime factors of 2738 and 2746.

Prime Factorization of 2738

Prime Factorization of 2746

Now multiplying the highest exponent prime factors to calculate the LCM of 2738 and 2746.

LCM(2738,2746) = 2¹ × 37² × 1373¹
LCM(2738,2746) = 3759274