What is the Least Common Multiple of 78984 and 78999?

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 78984 and 78999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78984 and 78999, than apply into the LCM equation.

GCF(78984,78999) = 3
LCM(78984,78999) = ( 78984 × 78999) / 3
LCM(78984,78999) = 6239657016 / 3
LCM(78984,78999) = 2079885672

Least Common Multiple (LCM) of 78984 and 78999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78984 and 78999. First we will calculate the prime factors of 78984 and 78999.

Prime Factorization of 78984

Prime Factorization of 78999

Now multiplying the highest exponent prime factors to calculate the LCM of 78984 and 78999.

LCM(78984,78999) = 2³ × 3² × 1097¹ × 17¹ × 1549¹
LCM(78984,78999) = 2079885672