What is the Least Common Multiple of 41088 and 41100?

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 41088 and 41100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41088 and 41100, than apply into the LCM equation.

GCF(41088,41100) = 12
LCM(41088,41100) = ( 41088 × 41100) / 12
LCM(41088,41100) = 1688716800 / 12
LCM(41088,41100) = 140726400

Least Common Multiple (LCM) of 41088 and 41100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41088 and 41100. First we will calculate the prime factors of 41088 and 41100.

Prime Factorization of 41088

Prime Factorization of 41100

Now multiplying the highest exponent prime factors to calculate the LCM of 41088 and 41100.

LCM(41088,41100) = 2⁷ × 3¹ × 107¹ × 5² × 137¹
LCM(41088,41100) = 140726400