What is the Least Common Multiple of 78199 and 78212?

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 78199 and 78212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78199 and 78212, than apply into the LCM equation.

GCF(78199,78212) = 1
LCM(78199,78212) = ( 78199 × 78212) / 1
LCM(78199,78212) = 6116100188 / 1
LCM(78199,78212) = 6116100188

Least Common Multiple (LCM) of 78199 and 78212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78199 and 78212. First we will calculate the prime factors of 78199 and 78212.

Prime Factorization of 78199

Prime Factorization of 78212

Now multiplying the highest exponent prime factors to calculate the LCM of 78199 and 78212.

LCM(78199,78212) = 11¹ × 7109¹ × 2² × 19553¹
LCM(78199,78212) = 6116100188