What is the Least Common Multiple of 78204 and 78223?

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 78204 and 78223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78204 and 78223, than apply into the LCM equation.

GCF(78204,78223) = 19
LCM(78204,78223) = ( 78204 × 78223) / 19
LCM(78204,78223) = 6117351492 / 19
LCM(78204,78223) = 321965868

Least Common Multiple (LCM) of 78204 and 78223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78204 and 78223. First we will calculate the prime factors of 78204 and 78223.

Prime Factorization of 78204

Prime Factorization of 78223

Now multiplying the highest exponent prime factors to calculate the LCM of 78204 and 78223.

LCM(78204,78223) = 2² × 3¹ × 7³ × 19¹ × 23¹ × 179¹
LCM(78204,78223) = 321965868