What is the Least Common Multiple of 2640 and 2652?

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 2640 and 2652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2640 and 2652, than apply into the LCM equation.

GCF(2640,2652) = 12
LCM(2640,2652) = ( 2640 × 2652) / 12
LCM(2640,2652) = 7001280 / 12
LCM(2640,2652) = 583440

Least Common Multiple (LCM) of 2640 and 2652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2640 and 2652. First we will calculate the prime factors of 2640 and 2652.

Prime Factorization of 2640

Prime Factorization of 2652

Now multiplying the highest exponent prime factors to calculate the LCM of 2640 and 2652.

LCM(2640,2652) = 2⁴ × 3¹ × 5¹ × 11¹ × 13¹ × 17¹
LCM(2640,2652) = 583440