What is the Least Common Multiple of 78174 and 78194?

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 78174 and 78194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78174 and 78194, than apply into the LCM equation.

GCF(78174,78194) = 2
LCM(78174,78194) = ( 78174 × 78194) / 2
LCM(78174,78194) = 6112737756 / 2
LCM(78174,78194) = 3056368878

Least Common Multiple (LCM) of 78174 and 78194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78174 and 78194. First we will calculate the prime factors of 78174 and 78194.

Prime Factorization of 78174

Prime Factorization of 78194

Now multiplying the highest exponent prime factors to calculate the LCM of 78174 and 78194.

LCM(78174,78194) = 2¹ × 3² × 43¹ × 101¹ × 39097¹
LCM(78174,78194) = 3056368878