What is the Least Common Multiple of 79928 and 79946?

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 79928 and 79946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79928 and 79946, than apply into the LCM equation.

GCF(79928,79946) = 2
LCM(79928,79946) = ( 79928 × 79946) / 2
LCM(79928,79946) = 6389923888 / 2
LCM(79928,79946) = 3194961944

Least Common Multiple (LCM) of 79928 and 79946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79928 and 79946. First we will calculate the prime factors of 79928 and 79946.

Prime Factorization of 79928

Prime Factorization of 79946

Now multiplying the highest exponent prime factors to calculate the LCM of 79928 and 79946.

LCM(79928,79946) = 2³ × 97¹ × 103¹ × 71¹ × 563¹
LCM(79928,79946) = 3194961944