What is the Least Common Multiple of 37304 and 37308?

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 37304 and 37308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37304 and 37308, than apply into the LCM equation.

GCF(37304,37308) = 4
LCM(37304,37308) = ( 37304 × 37308) / 4
LCM(37304,37308) = 1391737632 / 4
LCM(37304,37308) = 347934408

Least Common Multiple (LCM) of 37304 and 37308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37304 and 37308. First we will calculate the prime factors of 37304 and 37308.

Prime Factorization of 37304

Prime Factorization of 37308

Now multiplying the highest exponent prime factors to calculate the LCM of 37304 and 37308.

LCM(37304,37308) = 2³ × 4663¹ × 3¹ × 3109¹
LCM(37304,37308) = 347934408