What is the Least Common Multiple of 78939 and 78946?

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 78939 and 78946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78939 and 78946, than apply into the LCM equation.

GCF(78939,78946) = 7
LCM(78939,78946) = ( 78939 × 78946) / 7
LCM(78939,78946) = 6231918294 / 7
LCM(78939,78946) = 890274042

Least Common Multiple (LCM) of 78939 and 78946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78939 and 78946. First we will calculate the prime factors of 78939 and 78946.

Prime Factorization of 78939

Prime Factorization of 78946

Now multiplying the highest exponent prime factors to calculate the LCM of 78939 and 78946.

LCM(78939,78946) = 3² × 7² × 179¹ × 2¹ × 5639¹
LCM(78939,78946) = 890274042