What is the Least Common Multiple of 23940 and 23952?

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 23940 and 23952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23940 and 23952, than apply into the LCM equation.

GCF(23940,23952) = 12
LCM(23940,23952) = ( 23940 × 23952) / 12
LCM(23940,23952) = 573410880 / 12
LCM(23940,23952) = 47784240

Least Common Multiple (LCM) of 23940 and 23952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23940 and 23952. First we will calculate the prime factors of 23940 and 23952.

Prime Factorization of 23940

Prime Factorization of 23952

Now multiplying the highest exponent prime factors to calculate the LCM of 23940 and 23952.

LCM(23940,23952) = 2⁴ × 3² × 5¹ × 7¹ × 19¹ × 499¹
LCM(23940,23952) = 47784240