What is the Least Common Multiple of 79930 and 79942?

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 79930 and 79942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79930 and 79942, than apply into the LCM equation.

GCF(79930,79942) = 2
LCM(79930,79942) = ( 79930 × 79942) / 2
LCM(79930,79942) = 6389764060 / 2
LCM(79930,79942) = 3194882030

Least Common Multiple (LCM) of 79930 and 79942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79930 and 79942. First we will calculate the prime factors of 79930 and 79942.

Prime Factorization of 79930

Prime Factorization of 79942

Now multiplying the highest exponent prime factors to calculate the LCM of 79930 and 79942.

LCM(79930,79942) = 2¹ × 5¹ × 7993¹ × 39971¹
LCM(79930,79942) = 3194882030