What is the Least Common Multiple of 41175 and 41184?

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 41175 and 41184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41175 and 41184, than apply into the LCM equation.

GCF(41175,41184) = 9
LCM(41175,41184) = ( 41175 × 41184) / 9
LCM(41175,41184) = 1695751200 / 9
LCM(41175,41184) = 188416800

Least Common Multiple (LCM) of 41175 and 41184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41175 and 41184. First we will calculate the prime factors of 41175 and 41184.

Prime Factorization of 41175

Prime Factorization of 41184

Now multiplying the highest exponent prime factors to calculate the LCM of 41175 and 41184.

LCM(41175,41184) = 3³ × 5² × 61¹ × 2⁵ × 11¹ × 13¹
LCM(41175,41184) = 188416800