What is the Least Common Multiple of 3933 and 3952?

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 3933 and 3952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3933 and 3952, than apply into the LCM equation.

GCF(3933,3952) = 19
LCM(3933,3952) = ( 3933 × 3952) / 19
LCM(3933,3952) = 15543216 / 19
LCM(3933,3952) = 818064

Least Common Multiple (LCM) of 3933 and 3952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3933 and 3952. First we will calculate the prime factors of 3933 and 3952.

Prime Factorization of 3933

Prime Factorization of 3952

Now multiplying the highest exponent prime factors to calculate the LCM of 3933 and 3952.

LCM(3933,3952) = 3² × 19¹ × 23¹ × 2⁴ × 13¹
LCM(3933,3952) = 818064