What is the Least Common Multiple of 23920 and 23928?

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 23920 and 23928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23920 and 23928, than apply into the LCM equation.

GCF(23920,23928) = 8
LCM(23920,23928) = ( 23920 × 23928) / 8
LCM(23920,23928) = 572357760 / 8
LCM(23920,23928) = 71544720

Least Common Multiple (LCM) of 23920 and 23928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23920 and 23928. First we will calculate the prime factors of 23920 and 23928.

Prime Factorization of 23920

Prime Factorization of 23928

Now multiplying the highest exponent prime factors to calculate the LCM of 23920 and 23928.

LCM(23920,23928) = 2⁴ × 5¹ × 13¹ × 23¹ × 3¹ × 997¹
LCM(23920,23928) = 71544720