What is the Least Common Multiple of 3800 and 3813?

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 3800 and 3813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3800 and 3813, than apply into the LCM equation.

GCF(3800,3813) = 1
LCM(3800,3813) = ( 3800 × 3813) / 1
LCM(3800,3813) = 14489400 / 1
LCM(3800,3813) = 14489400

Least Common Multiple (LCM) of 3800 and 3813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3800 and 3813. First we will calculate the prime factors of 3800 and 3813.

Prime Factorization of 3800

Prime Factorization of 3813

Now multiplying the highest exponent prime factors to calculate the LCM of 3800 and 3813.

LCM(3800,3813) = 2³ × 5² × 19¹ × 3¹ × 31¹ × 41¹
LCM(3800,3813) = 14489400