What is the Least Common Multiple of 81936 and 81952?

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 81936 and 81952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81936 and 81952, than apply into the LCM equation.

GCF(81936,81952) = 16
LCM(81936,81952) = ( 81936 × 81952) / 16
LCM(81936,81952) = 6714819072 / 16
LCM(81936,81952) = 419676192

Least Common Multiple (LCM) of 81936 and 81952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81936 and 81952. First we will calculate the prime factors of 81936 and 81952.

Prime Factorization of 81936

Prime Factorization of 81952

Now multiplying the highest exponent prime factors to calculate the LCM of 81936 and 81952.

LCM(81936,81952) = 2⁵ × 3² × 569¹ × 13¹ × 197¹
LCM(81936,81952) = 419676192