What is the Least Common Multiple of 37800 and 37813?

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 37800 and 37813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37800 and 37813, than apply into the LCM equation.

GCF(37800,37813) = 1
LCM(37800,37813) = ( 37800 × 37813) / 1
LCM(37800,37813) = 1429331400 / 1
LCM(37800,37813) = 1429331400

Least Common Multiple (LCM) of 37800 and 37813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37800 and 37813. First we will calculate the prime factors of 37800 and 37813.

Prime Factorization of 37800

Prime Factorization of 37813

Now multiplying the highest exponent prime factors to calculate the LCM of 37800 and 37813.

LCM(37800,37813) = 2³ × 3³ × 5² × 7¹ × 37813¹
LCM(37800,37813) = 1429331400