What is the Least Common Multiple of 12624 and 12640?

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 12624 and 12640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12624 and 12640, than apply into the LCM equation.

GCF(12624,12640) = 16
LCM(12624,12640) = ( 12624 × 12640) / 16
LCM(12624,12640) = 159567360 / 16
LCM(12624,12640) = 9972960

Least Common Multiple (LCM) of 12624 and 12640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12624 and 12640. First we will calculate the prime factors of 12624 and 12640.

Prime Factorization of 12624

Prime Factorization of 12640

Now multiplying the highest exponent prime factors to calculate the LCM of 12624 and 12640.

LCM(12624,12640) = 2⁵ × 3¹ × 263¹ × 5¹ × 79¹
LCM(12624,12640) = 9972960