What is the Least Common Multiple of 79982 and 79996?

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 79982 and 79996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79982 and 79996, than apply into the LCM equation.

GCF(79982,79996) = 14
LCM(79982,79996) = ( 79982 × 79996) / 14
LCM(79982,79996) = 6398240072 / 14
LCM(79982,79996) = 457017148

Least Common Multiple (LCM) of 79982 and 79996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79982 and 79996. First we will calculate the prime factors of 79982 and 79996.

Prime Factorization of 79982

Prime Factorization of 79996

Now multiplying the highest exponent prime factors to calculate the LCM of 79982 and 79996.

LCM(79982,79996) = 2² × 7¹ × 29¹ × 197¹ × 2857¹
LCM(79982,79996) = 457017148