What is the Least Common Multiple of 64942 and 64946?

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 64942 and 64946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64942 and 64946, than apply into the LCM equation.

GCF(64942,64946) = 2
LCM(64942,64946) = ( 64942 × 64946) / 2
LCM(64942,64946) = 4217723132 / 2
LCM(64942,64946) = 2108861566

Least Common Multiple (LCM) of 64942 and 64946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64942 and 64946. First we will calculate the prime factors of 64942 and 64946.

Prime Factorization of 64942

Prime Factorization of 64946

Now multiplying the highest exponent prime factors to calculate the LCM of 64942 and 64946.

LCM(64942,64946) = 2¹ × 19¹ × 1709¹ × 7¹ × 4639¹
LCM(64942,64946) = 2108861566