What is the Least Common Multiple of 15174 and 15194?

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 15174 and 15194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15174 and 15194, than apply into the LCM equation.

GCF(15174,15194) = 2
LCM(15174,15194) = ( 15174 × 15194) / 2
LCM(15174,15194) = 230553756 / 2
LCM(15174,15194) = 115276878

Least Common Multiple (LCM) of 15174 and 15194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15174 and 15194. First we will calculate the prime factors of 15174 and 15194.

Prime Factorization of 15174

Prime Factorization of 15194

Now multiplying the highest exponent prime factors to calculate the LCM of 15174 and 15194.

LCM(15174,15194) = 2¹ × 3³ × 281¹ × 71¹ × 107¹
LCM(15174,15194) = 115276878