What is the Least Common Multiple of 9174 and 9194?

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 9174 and 9194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9174 and 9194, than apply into the LCM equation.

GCF(9174,9194) = 2
LCM(9174,9194) = ( 9174 × 9194) / 2
LCM(9174,9194) = 84345756 / 2
LCM(9174,9194) = 42172878

Least Common Multiple (LCM) of 9174 and 9194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9174 and 9194. First we will calculate the prime factors of 9174 and 9194.

Prime Factorization of 9174

Prime Factorization of 9194

Now multiplying the highest exponent prime factors to calculate the LCM of 9174 and 9194.

LCM(9174,9194) = 2¹ × 3¹ × 11¹ × 139¹ × 4597¹
LCM(9174,9194) = 42172878