What is the Least Common Multiple of 45165 and 45174?

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 45165 and 45174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45165 and 45174, than apply into the LCM equation.

GCF(45165,45174) = 3
LCM(45165,45174) = ( 45165 × 45174) / 3
LCM(45165,45174) = 2040283710 / 3
LCM(45165,45174) = 680094570

Least Common Multiple (LCM) of 45165 and 45174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45165 and 45174. First we will calculate the prime factors of 45165 and 45174.

Prime Factorization of 45165

Prime Factorization of 45174

Now multiplying the highest exponent prime factors to calculate the LCM of 45165 and 45174.

LCM(45165,45174) = 3¹ × 5¹ × 3011¹ × 2¹ × 7529¹
LCM(45165,45174) = 680094570