What is the Least Common Multiple of 36380 and 36397?

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 36380 and 36397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36380 and 36397, than apply into the LCM equation.

GCF(36380,36397) = 17
LCM(36380,36397) = ( 36380 × 36397) / 17
LCM(36380,36397) = 1324122860 / 17
LCM(36380,36397) = 77889580

Least Common Multiple (LCM) of 36380 and 36397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36380 and 36397. First we will calculate the prime factors of 36380 and 36397.

Prime Factorization of 36380

Prime Factorization of 36397

Now multiplying the highest exponent prime factors to calculate the LCM of 36380 and 36397.

LCM(36380,36397) = 2² × 5¹ × 17¹ × 107¹ × 2141¹
LCM(36380,36397) = 77889580