What is the Least Common Multiple of 78228 and 78233?

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 78228 and 78233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78228 and 78233, than apply into the LCM equation.

GCF(78228,78233) = 1
LCM(78228,78233) = ( 78228 × 78233) / 1
LCM(78228,78233) = 6120011124 / 1
LCM(78228,78233) = 6120011124

Least Common Multiple (LCM) of 78228 and 78233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78228 and 78233. First we will calculate the prime factors of 78228 and 78233.

Prime Factorization of 78228

Prime Factorization of 78233

Now multiplying the highest exponent prime factors to calculate the LCM of 78228 and 78233.

LCM(78228,78233) = 2² × 3² × 41¹ × 53¹ × 78233¹
LCM(78228,78233) = 6120011124