What is the Least Common Multiple of 2740 and 2754?

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 2740 and 2754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2740 and 2754, than apply into the LCM equation.

GCF(2740,2754) = 2
LCM(2740,2754) = ( 2740 × 2754) / 2
LCM(2740,2754) = 7545960 / 2
LCM(2740,2754) = 3772980

Least Common Multiple (LCM) of 2740 and 2754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2740 and 2754. First we will calculate the prime factors of 2740 and 2754.

Prime Factorization of 2740

Prime Factorization of 2754

Now multiplying the highest exponent prime factors to calculate the LCM of 2740 and 2754.

LCM(2740,2754) = 2² × 5¹ × 137¹ × 3⁴ × 17¹
LCM(2740,2754) = 3772980