What is the Least Common Multiple of 66174 and 66183?

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 66174 and 66183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66174 and 66183, than apply into the LCM equation.

GCF(66174,66183) = 3
LCM(66174,66183) = ( 66174 × 66183) / 3
LCM(66174,66183) = 4379593842 / 3
LCM(66174,66183) = 1459864614

Least Common Multiple (LCM) of 66174 and 66183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66174 and 66183. First we will calculate the prime factors of 66174 and 66183.

Prime Factorization of 66174

Prime Factorization of 66183

Now multiplying the highest exponent prime factors to calculate the LCM of 66174 and 66183.

LCM(66174,66183) = 2¹ × 3¹ × 41¹ × 269¹ × 13¹ × 1697¹
LCM(66174,66183) = 1459864614