What is the Least Common Multiple of 2720 and 2738?

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 2738 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 2738, than apply into the LCM equation.

GCF(2720,2738) = 2
LCM(2720,2738) = ( 2720 × 2738) / 2
LCM(2720,2738) = 7447360 / 2
LCM(2720,2738) = 3723680

Least Common Multiple (LCM) of 2720 and 2738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2720 and 2738. First we will calculate the prime factors of 2720 and 2738.

Prime Factorization of 2720

Prime Factorization of 2738

Now multiplying the highest exponent prime factors to calculate the LCM of 2720 and 2738.

LCM(2720,2738) = 2⁵ × 5¹ × 17¹ × 37²
LCM(2720,2738) = 3723680