What is the Least Common Multiple of 19174 and 19182?

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 19174 and 19182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19174 and 19182, than apply into the LCM equation.

GCF(19174,19182) = 2
LCM(19174,19182) = ( 19174 × 19182) / 2
LCM(19174,19182) = 367795668 / 2
LCM(19174,19182) = 183897834

Least Common Multiple (LCM) of 19174 and 19182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19174 and 19182. First we will calculate the prime factors of 19174 and 19182.

Prime Factorization of 19174

Prime Factorization of 19182

Now multiplying the highest exponent prime factors to calculate the LCM of 19174 and 19182.

LCM(19174,19182) = 2¹ × 9587¹ × 3¹ × 23¹ × 139¹
LCM(19174,19182) = 183897834