What is the Least Common Multiple of 23980 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 23980 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 23980 and 23988, than apply into the LCM equation.

GCF(23980,23988) = 4
LCM(23980,23988) = ( 23980 × 23988) / 4
LCM(23980,23988) = 575232240 / 4
LCM(23980,23988) = 143808060

Least Common Multiple (LCM) of 23980 and 23988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23980 and 23988. First we will calculate the prime factors of 23980 and 23988.

Prime Factorization of 23980

Prime Factorization of 23988

Now multiplying the highest exponent prime factors to calculate the LCM of 23980 and 23988.

LCM(23980,23988) = 2² × 5¹ × 11¹ × 109¹ × 3¹ × 1999¹
LCM(23980,23988) = 143808060