What is the Least Common Multiple of 23880 and 23900?

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 23880 and 23900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23880 and 23900, than apply into the LCM equation.

GCF(23880,23900) = 20
LCM(23880,23900) = ( 23880 × 23900) / 20
LCM(23880,23900) = 570732000 / 20
LCM(23880,23900) = 28536600

Least Common Multiple (LCM) of 23880 and 23900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23880 and 23900. First we will calculate the prime factors of 23880 and 23900.

Prime Factorization of 23880

Prime Factorization of 23900

Now multiplying the highest exponent prime factors to calculate the LCM of 23880 and 23900.

LCM(23880,23900) = 2³ × 3¹ × 5² × 199¹ × 239¹
LCM(23880,23900) = 28536600