What is the Least Common Multiple of 38180 and 38185?

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 38180 and 38185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38180 and 38185, than apply into the LCM equation.

GCF(38180,38185) = 5
LCM(38180,38185) = ( 38180 × 38185) / 5
LCM(38180,38185) = 1457903300 / 5
LCM(38180,38185) = 291580660

Least Common Multiple (LCM) of 38180 and 38185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38180 and 38185. First we will calculate the prime factors of 38180 and 38185.

Prime Factorization of 38180

Prime Factorization of 38185

Now multiplying the highest exponent prime factors to calculate the LCM of 38180 and 38185.

LCM(38180,38185) = 2² × 5¹ × 23¹ × 83¹ × 7¹ × 1091¹
LCM(38180,38185) = 291580660