What is the Least Common Multiple of 3780 and 3800?

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 3780 and 3800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3780 and 3800, than apply into the LCM equation.

GCF(3780,3800) = 20
LCM(3780,3800) = ( 3780 × 3800) / 20
LCM(3780,3800) = 14364000 / 20
LCM(3780,3800) = 718200

Least Common Multiple (LCM) of 3780 and 3800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3780 and 3800. First we will calculate the prime factors of 3780 and 3800.

Prime Factorization of 3780

Prime Factorization of 3800

Now multiplying the highest exponent prime factors to calculate the LCM of 3780 and 3800.

LCM(3780,3800) = 2³ × 3³ × 5² × 7¹ × 19¹
LCM(3780,3800) = 718200