What is the Least Common Multiple of 37204 and 37209?

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 37204 and 37209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37204 and 37209, than apply into the LCM equation.

GCF(37204,37209) = 1
LCM(37204,37209) = ( 37204 × 37209) / 1
LCM(37204,37209) = 1384323636 / 1
LCM(37204,37209) = 1384323636

Least Common Multiple (LCM) of 37204 and 37209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37204 and 37209. First we will calculate the prime factors of 37204 and 37209.

Prime Factorization of 37204

Prime Factorization of 37209

Now multiplying the highest exponent prime factors to calculate the LCM of 37204 and 37209.

LCM(37204,37209) = 2² × 71¹ × 131¹ × 3¹ × 79¹ × 157¹
LCM(37204,37209) = 1384323636