What is the Least Common Multiple of 78291 and 78299?

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 78291 and 78299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78291 and 78299, than apply into the LCM equation.

GCF(78291,78299) = 1
LCM(78291,78299) = ( 78291 × 78299) / 1
LCM(78291,78299) = 6130107009 / 1
LCM(78291,78299) = 6130107009

Least Common Multiple (LCM) of 78291 and 78299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78291 and 78299. First we will calculate the prime factors of 78291 and 78299.

Prime Factorization of 78291

Prime Factorization of 78299

Now multiplying the highest exponent prime factors to calculate the LCM of 78291 and 78299.

LCM(78291,78299) = 3² × 8699¹ × 13¹ × 19¹ × 317¹
LCM(78291,78299) = 6130107009