What is the Least Common Multiple of 7990 and 7996?

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 7990 and 7996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7990 and 7996, than apply into the LCM equation.

GCF(7990,7996) = 2
LCM(7990,7996) = ( 7990 × 7996) / 2
LCM(7990,7996) = 63888040 / 2
LCM(7990,7996) = 31944020

Least Common Multiple (LCM) of 7990 and 7996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7990 and 7996. First we will calculate the prime factors of 7990 and 7996.

Prime Factorization of 7990

Prime Factorization of 7996

Now multiplying the highest exponent prime factors to calculate the LCM of 7990 and 7996.

LCM(7990,7996) = 2² × 5¹ × 17¹ × 47¹ × 1999¹
LCM(7990,7996) = 31944020