What is the Least Common Multiple of 2720 and 2740?

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 2720 and 2740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2720 and 2740, than apply into the LCM equation.

GCF(2720,2740) = 20
LCM(2720,2740) = ( 2720 × 2740) / 20
LCM(2720,2740) = 7452800 / 20
LCM(2720,2740) = 372640

Least Common Multiple (LCM) of 2720 and 2740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2720 and 2740. First we will calculate the prime factors of 2720 and 2740.

Prime Factorization of 2720

Prime Factorization of 2740

Now multiplying the highest exponent prime factors to calculate the LCM of 2720 and 2740.

LCM(2720,2740) = 2⁵ × 5¹ × 17¹ × 137¹
LCM(2720,2740) = 372640