What is the Least Common Multiple of 79980 and 79988?

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 79980 and 79988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79980 and 79988, than apply into the LCM equation.

GCF(79980,79988) = 4
LCM(79980,79988) = ( 79980 × 79988) / 4
LCM(79980,79988) = 6397440240 / 4
LCM(79980,79988) = 1599360060

Least Common Multiple (LCM) of 79980 and 79988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79980 and 79988. First we will calculate the prime factors of 79980 and 79988.

Prime Factorization of 79980

Prime Factorization of 79988

Now multiplying the highest exponent prime factors to calculate the LCM of 79980 and 79988.

LCM(79980,79988) = 2² × 3¹ × 5¹ × 31¹ × 43¹ × 19997¹
LCM(79980,79988) = 1599360060