What is the Least Common Multiple of 36294 and 36304?

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 36294 and 36304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36294 and 36304, than apply into the LCM equation.

GCF(36294,36304) = 2
LCM(36294,36304) = ( 36294 × 36304) / 2
LCM(36294,36304) = 1317617376 / 2
LCM(36294,36304) = 658808688

Least Common Multiple (LCM) of 36294 and 36304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36294 and 36304. First we will calculate the prime factors of 36294 and 36304.

Prime Factorization of 36294

Prime Factorization of 36304

Now multiplying the highest exponent prime factors to calculate the LCM of 36294 and 36304.

LCM(36294,36304) = 2⁴ × 3¹ × 23¹ × 263¹ × 2269¹
LCM(36294,36304) = 658808688