What is the Least Common Multiple of 41190 and 41208?

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 41190 and 41208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41190 and 41208, than apply into the LCM equation.

GCF(41190,41208) = 6
LCM(41190,41208) = ( 41190 × 41208) / 6
LCM(41190,41208) = 1697357520 / 6
LCM(41190,41208) = 282892920

Least Common Multiple (LCM) of 41190 and 41208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41190 and 41208. First we will calculate the prime factors of 41190 and 41208.

Prime Factorization of 41190

Prime Factorization of 41208

Now multiplying the highest exponent prime factors to calculate the LCM of 41190 and 41208.

LCM(41190,41208) = 2³ × 3¹ × 5¹ × 1373¹ × 17¹ × 101¹
LCM(41190,41208) = 282892920