What is the Least Common Multiple of 5943 and 5952?

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 5943 and 5952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5943 and 5952, than apply into the LCM equation.

GCF(5943,5952) = 3
LCM(5943,5952) = ( 5943 × 5952) / 3
LCM(5943,5952) = 35372736 / 3
LCM(5943,5952) = 11790912

Least Common Multiple (LCM) of 5943 and 5952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5943 and 5952. First we will calculate the prime factors of 5943 and 5952.

Prime Factorization of 5943

Prime Factorization of 5952

Now multiplying the highest exponent prime factors to calculate the LCM of 5943 and 5952.

LCM(5943,5952) = 3¹ × 7¹ × 283¹ × 2⁶ × 31¹
LCM(5943,5952) = 11790912