What is the Least Common Multiple of 35936 and 35946?

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 35936 and 35946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35936 and 35946, than apply into the LCM equation.

GCF(35936,35946) = 2
LCM(35936,35946) = ( 35936 × 35946) / 2
LCM(35936,35946) = 1291755456 / 2
LCM(35936,35946) = 645877728

Least Common Multiple (LCM) of 35936 and 35946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35936 and 35946. First we will calculate the prime factors of 35936 and 35946.

Prime Factorization of 35936

Prime Factorization of 35946

Now multiplying the highest exponent prime factors to calculate the LCM of 35936 and 35946.

LCM(35936,35946) = 2⁵ × 1123¹ × 3² × 1997¹
LCM(35936,35946) = 645877728