What is the Least Common Multiple of 2680 and 2697?

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 2680 and 2697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2680 and 2697, than apply into the LCM equation.

GCF(2680,2697) = 1
LCM(2680,2697) = ( 2680 × 2697) / 1
LCM(2680,2697) = 7227960 / 1
LCM(2680,2697) = 7227960

Least Common Multiple (LCM) of 2680 and 2697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2680 and 2697. First we will calculate the prime factors of 2680 and 2697.

Prime Factorization of 2680

Prime Factorization of 2697

Now multiplying the highest exponent prime factors to calculate the LCM of 2680 and 2697.

LCM(2680,2697) = 2³ × 5¹ × 67¹ × 3¹ × 29¹ × 31¹
LCM(2680,2697) = 7227960