What is the Least Common Multiple of 23964 and 23976?

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 23964 and 23976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23964 and 23976, than apply into the LCM equation.

GCF(23964,23976) = 12
LCM(23964,23976) = ( 23964 × 23976) / 12
LCM(23964,23976) = 574560864 / 12
LCM(23964,23976) = 47880072

Least Common Multiple (LCM) of 23964 and 23976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23964 and 23976. First we will calculate the prime factors of 23964 and 23976.

Prime Factorization of 23964

Prime Factorization of 23976

Now multiplying the highest exponent prime factors to calculate the LCM of 23964 and 23976.

LCM(23964,23976) = 2³ × 3⁴ × 1997¹ × 37¹
LCM(23964,23976) = 47880072