What is the Least Common Multiple of 38164 and 38180?

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 38164 and 38180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38164 and 38180, than apply into the LCM equation.

GCF(38164,38180) = 4
LCM(38164,38180) = ( 38164 × 38180) / 4
LCM(38164,38180) = 1457101520 / 4
LCM(38164,38180) = 364275380

Least Common Multiple (LCM) of 38164 and 38180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38164 and 38180. First we will calculate the prime factors of 38164 and 38180.

Prime Factorization of 38164

Prime Factorization of 38180

Now multiplying the highest exponent prime factors to calculate the LCM of 38164 and 38180.

LCM(38164,38180) = 2² × 7¹ × 29¹ × 47¹ × 5¹ × 23¹ × 83¹
LCM(38164,38180) = 364275380