What is the Least Common Multiple of 23872 and 23880?

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 23872 and 23880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23872 and 23880, than apply into the LCM equation.

GCF(23872,23880) = 8
LCM(23872,23880) = ( 23872 × 23880) / 8
LCM(23872,23880) = 570063360 / 8
LCM(23872,23880) = 71257920

Least Common Multiple (LCM) of 23872 and 23880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23872 and 23880. First we will calculate the prime factors of 23872 and 23880.

Prime Factorization of 23872

Prime Factorization of 23880

Now multiplying the highest exponent prime factors to calculate the LCM of 23872 and 23880.

LCM(23872,23880) = 2⁶ × 373¹ × 3¹ × 5¹ × 199¹
LCM(23872,23880) = 71257920