What is the Least Common Multiple of 79980 and 80000?

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 80000 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 80000, than apply into the LCM equation.

GCF(79980,80000) = 20
LCM(79980,80000) = ( 79980 × 80000) / 20
LCM(79980,80000) = 6398400000 / 20
LCM(79980,80000) = 319920000

Least Common Multiple (LCM) of 79980 and 80000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79980 and 80000. First we will calculate the prime factors of 79980 and 80000.

Prime Factorization of 79980

Prime Factorization of 80000

Now multiplying the highest exponent prime factors to calculate the LCM of 79980 and 80000.

LCM(79980,80000) = 2⁷ × 3¹ × 5⁴ × 31¹ × 43¹
LCM(79980,80000) = 319920000