What is the Least Common Multiple of 41170 and 41175?

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 41170 and 41175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41170 and 41175, than apply into the LCM equation.

GCF(41170,41175) = 5
LCM(41170,41175) = ( 41170 × 41175) / 5
LCM(41170,41175) = 1695174750 / 5
LCM(41170,41175) = 339034950

Least Common Multiple (LCM) of 41170 and 41175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41170 and 41175. First we will calculate the prime factors of 41170 and 41175.

Prime Factorization of 41170

Prime Factorization of 41175

Now multiplying the highest exponent prime factors to calculate the LCM of 41170 and 41175.

LCM(41170,41175) = 2¹ × 5² × 23¹ × 179¹ × 3³ × 61¹
LCM(41170,41175) = 339034950