What is the Least Common Multiple of 78228 and 78237?

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 78237 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 78237, than apply into the LCM equation.

GCF(78228,78237) = 9
LCM(78228,78237) = ( 78228 × 78237) / 9
LCM(78228,78237) = 6120324036 / 9
LCM(78228,78237) = 680036004

Least Common Multiple (LCM) of 78228 and 78237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78228 and 78237. First we will calculate the prime factors of 78228 and 78237.

Prime Factorization of 78228

Prime Factorization of 78237

Now multiplying the highest exponent prime factors to calculate the LCM of 78228 and 78237.

LCM(78228,78237) = 2² × 3² × 41¹ × 53¹ × 8693¹
LCM(78228,78237) = 680036004