What is the Least Common Multiple of 2624 and 2640?

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 2624 and 2640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2624 and 2640, than apply into the LCM equation.

GCF(2624,2640) = 16
LCM(2624,2640) = ( 2624 × 2640) / 16
LCM(2624,2640) = 6927360 / 16
LCM(2624,2640) = 432960

Least Common Multiple (LCM) of 2624 and 2640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2624 and 2640. First we will calculate the prime factors of 2624 and 2640.

Prime Factorization of 2624

Prime Factorization of 2640

Now multiplying the highest exponent prime factors to calculate the LCM of 2624 and 2640.

LCM(2624,2640) = 2⁶ × 41¹ × 3¹ × 5¹ × 11¹
LCM(2624,2640) = 432960