What is the Least Common Multiple of 38269 and 38286?

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 38269 and 38286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38269 and 38286, than apply into the LCM equation.

GCF(38269,38286) = 1
LCM(38269,38286) = ( 38269 × 38286) / 1
LCM(38269,38286) = 1465166934 / 1
LCM(38269,38286) = 1465166934

Least Common Multiple (LCM) of 38269 and 38286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38269 and 38286. First we will calculate the prime factors of 38269 and 38286.

Prime Factorization of 38269

Prime Factorization of 38286

Now multiplying the highest exponent prime factors to calculate the LCM of 38269 and 38286.

LCM(38269,38286) = 7² × 11¹ × 71¹ × 2¹ × 3³ × 709¹
LCM(38269,38286) = 1465166934