What is the Least Common Multiple of 78185 and 78204?

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 78185 and 78204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78185 and 78204, than apply into the LCM equation.

GCF(78185,78204) = 19
LCM(78185,78204) = ( 78185 × 78204) / 19
LCM(78185,78204) = 6114379740 / 19
LCM(78185,78204) = 321809460

Least Common Multiple (LCM) of 78185 and 78204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78185 and 78204. First we will calculate the prime factors of 78185 and 78204.

Prime Factorization of 78185

Prime Factorization of 78204

Now multiplying the highest exponent prime factors to calculate the LCM of 78185 and 78204.

LCM(78185,78204) = 5¹ × 19¹ × 823¹ × 2² × 3¹ × 7³
LCM(78185,78204) = 321809460