What is the Least Common Multiple of 41900 and 41912?

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 41900 and 41912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41900 and 41912, than apply into the LCM equation.

GCF(41900,41912) = 4
LCM(41900,41912) = ( 41900 × 41912) / 4
LCM(41900,41912) = 1756112800 / 4
LCM(41900,41912) = 439028200

Least Common Multiple (LCM) of 41900 and 41912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41900 and 41912. First we will calculate the prime factors of 41900 and 41912.

Prime Factorization of 41900

Prime Factorization of 41912

Now multiplying the highest exponent prime factors to calculate the LCM of 41900 and 41912.

LCM(41900,41912) = 2³ × 5² × 419¹ × 13² × 31¹
LCM(41900,41912) = 439028200