What is the Least Common Multiple of 78987 and 78996?

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 78987 and 78996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78987 and 78996, than apply into the LCM equation.

GCF(78987,78996) = 3
LCM(78987,78996) = ( 78987 × 78996) / 3
LCM(78987,78996) = 6239657052 / 3
LCM(78987,78996) = 2079885684

Least Common Multiple (LCM) of 78987 and 78996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78987 and 78996. First we will calculate the prime factors of 78987 and 78996.

Prime Factorization of 78987

Prime Factorization of 78996

Now multiplying the highest exponent prime factors to calculate the LCM of 78987 and 78996.

LCM(78987,78996) = 3¹ × 113¹ × 233¹ × 2² × 29¹ × 227¹
LCM(78987,78996) = 2079885684