What is the Least Common Multiple of 23952 and 23970?

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 23952 and 23970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23952 and 23970, than apply into the LCM equation.

GCF(23952,23970) = 6
LCM(23952,23970) = ( 23952 × 23970) / 6
LCM(23952,23970) = 574129440 / 6
LCM(23952,23970) = 95688240

Least Common Multiple (LCM) of 23952 and 23970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23952 and 23970. First we will calculate the prime factors of 23952 and 23970.

Prime Factorization of 23952

Prime Factorization of 23970

Now multiplying the highest exponent prime factors to calculate the LCM of 23952 and 23970.

LCM(23952,23970) = 2⁴ × 3¹ × 499¹ × 5¹ × 17¹ × 47¹
LCM(23952,23970) = 95688240