What is the Least Common Multiple of 23974 and 23980?

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 23974 and 23980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23974 and 23980, than apply into the LCM equation.

GCF(23974,23980) = 2
LCM(23974,23980) = ( 23974 × 23980) / 2
LCM(23974,23980) = 574896520 / 2
LCM(23974,23980) = 287448260

Least Common Multiple (LCM) of 23974 and 23980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23974 and 23980. First we will calculate the prime factors of 23974 and 23980.

Prime Factorization of 23974

Prime Factorization of 23980

Now multiplying the highest exponent prime factors to calculate the LCM of 23974 and 23980.

LCM(23974,23980) = 2² × 11987¹ × 5¹ × 11¹ × 109¹
LCM(23974,23980) = 287448260