What is the Least Common Multiple of 23965 and 23972?

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 23965 and 23972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23965 and 23972, than apply into the LCM equation.

GCF(23965,23972) = 1
LCM(23965,23972) = ( 23965 × 23972) / 1
LCM(23965,23972) = 574488980 / 1
LCM(23965,23972) = 574488980

Least Common Multiple (LCM) of 23965 and 23972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23965 and 23972. First we will calculate the prime factors of 23965 and 23972.

Prime Factorization of 23965

Prime Factorization of 23972

Now multiplying the highest exponent prime factors to calculate the LCM of 23965 and 23972.

LCM(23965,23972) = 5¹ × 4793¹ × 2² × 13¹ × 461¹
LCM(23965,23972) = 574488980