What is the Least Common Multiple of 79983 and 79989?

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 79983 and 79989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79983 and 79989, than apply into the LCM equation.

GCF(79983,79989) = 3
LCM(79983,79989) = ( 79983 × 79989) / 3
LCM(79983,79989) = 6397760187 / 3
LCM(79983,79989) = 2132586729

Least Common Multiple (LCM) of 79983 and 79989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79983 and 79989. First we will calculate the prime factors of 79983 and 79989.

Prime Factorization of 79983

Prime Factorization of 79989

Now multiplying the highest exponent prime factors to calculate the LCM of 79983 and 79989.

LCM(79983,79989) = 3² × 8887¹ × 7¹ × 13¹ × 293¹
LCM(79983,79989) = 2132586729