What is the Least Common Multiple of 23973 and 23988?

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 23973 and 23988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23973 and 23988, than apply into the LCM equation.

GCF(23973,23988) = 3
LCM(23973,23988) = ( 23973 × 23988) / 3
LCM(23973,23988) = 575064324 / 3
LCM(23973,23988) = 191688108

Least Common Multiple (LCM) of 23973 and 23988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23973 and 23988. First we will calculate the prime factors of 23973 and 23988.

Prime Factorization of 23973

Prime Factorization of 23988

Now multiplying the highest exponent prime factors to calculate the LCM of 23973 and 23988.

LCM(23973,23988) = 3¹ × 61¹ × 131¹ × 2² × 1999¹
LCM(23973,23988) = 191688108