What is the Least Common Multiple of 36388 and 36394?

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 36388 and 36394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36388 and 36394, than apply into the LCM equation.

GCF(36388,36394) = 2
LCM(36388,36394) = ( 36388 × 36394) / 2
LCM(36388,36394) = 1324304872 / 2
LCM(36388,36394) = 662152436

Least Common Multiple (LCM) of 36388 and 36394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36388 and 36394. First we will calculate the prime factors of 36388 and 36394.

Prime Factorization of 36388

Prime Factorization of 36394

Now multiplying the highest exponent prime factors to calculate the LCM of 36388 and 36394.

LCM(36388,36394) = 2² × 11¹ × 827¹ × 31¹ × 587¹
LCM(36388,36394) = 662152436