What is the Least Common Multiple of 52936 and 52946?

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 52936 and 52946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52936 and 52946, than apply into the LCM equation.

GCF(52936,52946) = 2
LCM(52936,52946) = ( 52936 × 52946) / 2
LCM(52936,52946) = 2802749456 / 2
LCM(52936,52946) = 1401374728

Least Common Multiple (LCM) of 52936 and 52946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52936 and 52946. First we will calculate the prime factors of 52936 and 52946.

Prime Factorization of 52936

Prime Factorization of 52946

Now multiplying the highest exponent prime factors to calculate the LCM of 52936 and 52946.

LCM(52936,52946) = 2³ × 13¹ × 509¹ × 23¹ × 1151¹
LCM(52936,52946) = 1401374728