What is the Least Common Multiple of 3800 and 3814?

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 3814 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 3814, than apply into the LCM equation.

GCF(3800,3814) = 2
LCM(3800,3814) = ( 3800 × 3814) / 2
LCM(3800,3814) = 14493200 / 2
LCM(3800,3814) = 7246600

Least Common Multiple (LCM) of 3800 and 3814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3800 and 3814. First we will calculate the prime factors of 3800 and 3814.

Prime Factorization of 3800

Prime Factorization of 3814

Now multiplying the highest exponent prime factors to calculate the LCM of 3800 and 3814.

LCM(3800,3814) = 2³ × 5² × 19¹ × 1907¹
LCM(3800,3814) = 7246600