What is the Least Common Multiple of 41100 and 41112?

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 41100 and 41112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41100 and 41112, than apply into the LCM equation.

GCF(41100,41112) = 12
LCM(41100,41112) = ( 41100 × 41112) / 12
LCM(41100,41112) = 1689703200 / 12
LCM(41100,41112) = 140808600

Least Common Multiple (LCM) of 41100 and 41112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41100 and 41112. First we will calculate the prime factors of 41100 and 41112.

Prime Factorization of 41100

Prime Factorization of 41112

Now multiplying the highest exponent prime factors to calculate the LCM of 41100 and 41112.

LCM(41100,41112) = 2³ × 3² × 5² × 137¹ × 571¹
LCM(41100,41112) = 140808600