What is the Least Common Multiple of 81936 and 81946?

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 81946 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 81946, than apply into the LCM equation.

GCF(81936,81946) = 2
LCM(81936,81946) = ( 81936 × 81946) / 2
LCM(81936,81946) = 6714327456 / 2
LCM(81936,81946) = 3357163728

Least Common Multiple (LCM) of 81936 and 81946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81936 and 81946. First we will calculate the prime factors of 81936 and 81946.

Prime Factorization of 81936

Prime Factorization of 81946

Now multiplying the highest exponent prime factors to calculate the LCM of 81936 and 81946.

LCM(81936,81946) = 2⁴ × 3² × 569¹ × 40973¹
LCM(81936,81946) = 3357163728