What is the Least Common Multiple of 53937 and 53946?

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 53937 and 53946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53937 and 53946, than apply into the LCM equation.

GCF(53937,53946) = 9
LCM(53937,53946) = ( 53937 × 53946) / 9
LCM(53937,53946) = 2909685402 / 9
LCM(53937,53946) = 323298378

Least Common Multiple (LCM) of 53937 and 53946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53937 and 53946. First we will calculate the prime factors of 53937 and 53946.

Prime Factorization of 53937

Prime Factorization of 53946

Now multiplying the highest exponent prime factors to calculate the LCM of 53937 and 53946.

LCM(53937,53946) = 3⁶ × 13¹ × 461¹ × 2¹ × 37¹
LCM(53937,53946) = 323298378