What is the Least Common Multiple of 75982 and 75996?

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 75982 and 75996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75982 and 75996, than apply into the LCM equation.

GCF(75982,75996) = 2
LCM(75982,75996) = ( 75982 × 75996) / 2
LCM(75982,75996) = 5774328072 / 2
LCM(75982,75996) = 2887164036

Least Common Multiple (LCM) of 75982 and 75996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75982 and 75996. First we will calculate the prime factors of 75982 and 75996.

Prime Factorization of 75982

Prime Factorization of 75996

Now multiplying the highest exponent prime factors to calculate the LCM of 75982 and 75996.

LCM(75982,75996) = 2² × 37991¹ × 3² × 2111¹
LCM(75982,75996) = 2887164036