What is the Least Common Multiple of 38185 and 38195?

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 38185 and 38195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38185 and 38195, than apply into the LCM equation.

GCF(38185,38195) = 5
LCM(38185,38195) = ( 38185 × 38195) / 5
LCM(38185,38195) = 1458476075 / 5
LCM(38185,38195) = 291695215

Least Common Multiple (LCM) of 38185 and 38195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38185 and 38195. First we will calculate the prime factors of 38185 and 38195.

Prime Factorization of 38185

Prime Factorization of 38195

Now multiplying the highest exponent prime factors to calculate the LCM of 38185 and 38195.

LCM(38185,38195) = 5¹ × 7¹ × 1091¹ × 7639¹
LCM(38185,38195) = 291695215