What is the Least Common Multiple of 80938 and 80946?

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 80938 and 80946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80938 and 80946, than apply into the LCM equation.

GCF(80938,80946) = 2
LCM(80938,80946) = ( 80938 × 80946) / 2
LCM(80938,80946) = 6551607348 / 2
LCM(80938,80946) = 3275803674

Least Common Multiple (LCM) of 80938 and 80946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80938 and 80946. First we will calculate the prime factors of 80938 and 80946.

Prime Factorization of 80938

Prime Factorization of 80946

Now multiplying the highest exponent prime factors to calculate the LCM of 80938 and 80946.

LCM(80938,80946) = 2¹ × 11¹ × 13¹ × 283¹ × 3³ × 1499¹
LCM(80938,80946) = 3275803674