What is the Least Common Multiple of 19178 and 19196?

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 19178 and 19196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19178 and 19196, than apply into the LCM equation.

GCF(19178,19196) = 2
LCM(19178,19196) = ( 19178 × 19196) / 2
LCM(19178,19196) = 368140888 / 2
LCM(19178,19196) = 184070444

Least Common Multiple (LCM) of 19178 and 19196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19178 and 19196. First we will calculate the prime factors of 19178 and 19196.

Prime Factorization of 19178

Prime Factorization of 19196

Now multiplying the highest exponent prime factors to calculate the LCM of 19178 and 19196.

LCM(19178,19196) = 2² × 43¹ × 223¹ × 4799¹
LCM(19178,19196) = 184070444