What is the Least Common Multiple of 41952 and 41964?

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 41952 and 41964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41952 and 41964, than apply into the LCM equation.

GCF(41952,41964) = 12
LCM(41952,41964) = ( 41952 × 41964) / 12
LCM(41952,41964) = 1760473728 / 12
LCM(41952,41964) = 146706144

Least Common Multiple (LCM) of 41952 and 41964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41952 and 41964. First we will calculate the prime factors of 41952 and 41964.

Prime Factorization of 41952

Prime Factorization of 41964

Now multiplying the highest exponent prime factors to calculate the LCM of 41952 and 41964.

LCM(41952,41964) = 2⁵ × 3¹ × 19¹ × 23¹ × 13¹ × 269¹
LCM(41952,41964) = 146706144