What is the Least Common Multiple of 2714 and 2720?

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 2714 and 2720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2714 and 2720, than apply into the LCM equation.

GCF(2714,2720) = 2
LCM(2714,2720) = ( 2714 × 2720) / 2
LCM(2714,2720) = 7382080 / 2
LCM(2714,2720) = 3691040

Least Common Multiple (LCM) of 2714 and 2720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2714 and 2720. First we will calculate the prime factors of 2714 and 2720.

Prime Factorization of 2714

Prime Factorization of 2720

Now multiplying the highest exponent prime factors to calculate the LCM of 2714 and 2720.

LCM(2714,2720) = 2⁵ × 23¹ × 59¹ × 5¹ × 17¹
LCM(2714,2720) = 3691040