What is the Least Common Multiple of 37204 and 37208?

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 37208 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 37208, than apply into the LCM equation.

GCF(37204,37208) = 4
LCM(37204,37208) = ( 37204 × 37208) / 4
LCM(37204,37208) = 1384286432 / 4
LCM(37204,37208) = 346071608

Least Common Multiple (LCM) of 37204 and 37208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37204 and 37208. First we will calculate the prime factors of 37204 and 37208.

Prime Factorization of 37204

Prime Factorization of 37208

Now multiplying the highest exponent prime factors to calculate the LCM of 37204 and 37208.

LCM(37204,37208) = 2³ × 71¹ × 131¹ × 4651¹
LCM(37204,37208) = 346071608