What is the Least Common Multiple of 37300 and 37306?

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 37300 and 37306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37300 and 37306, than apply into the LCM equation.

GCF(37300,37306) = 2
LCM(37300,37306) = ( 37300 × 37306) / 2
LCM(37300,37306) = 1391513800 / 2
LCM(37300,37306) = 695756900

Least Common Multiple (LCM) of 37300 and 37306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37300 and 37306. First we will calculate the prime factors of 37300 and 37306.

Prime Factorization of 37300

Prime Factorization of 37306

Now multiplying the highest exponent prime factors to calculate the LCM of 37300 and 37306.

LCM(37300,37306) = 2² × 5² × 373¹ × 23¹ × 811¹
LCM(37300,37306) = 695756900