What is the Least Common Multiple of 23968 and 23974?

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 23968 and 23974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23968 and 23974, than apply into the LCM equation.

GCF(23968,23974) = 2
LCM(23968,23974) = ( 23968 × 23974) / 2
LCM(23968,23974) = 574608832 / 2
LCM(23968,23974) = 287304416

Least Common Multiple (LCM) of 23968 and 23974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23968 and 23974. First we will calculate the prime factors of 23968 and 23974.

Prime Factorization of 23968

Prime Factorization of 23974

Now multiplying the highest exponent prime factors to calculate the LCM of 23968 and 23974.

LCM(23968,23974) = 2⁵ × 7¹ × 107¹ × 11987¹
LCM(23968,23974) = 287304416