What is the Least Common Multiple of 38286 and 38306?

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 38286 and 38306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38286 and 38306, than apply into the LCM equation.

GCF(38286,38306) = 2
LCM(38286,38306) = ( 38286 × 38306) / 2
LCM(38286,38306) = 1466583516 / 2
LCM(38286,38306) = 733291758

Least Common Multiple (LCM) of 38286 and 38306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38286 and 38306. First we will calculate the prime factors of 38286 and 38306.

Prime Factorization of 38286

Prime Factorization of 38306

Now multiplying the highest exponent prime factors to calculate the LCM of 38286 and 38306.

LCM(38286,38306) = 2¹ × 3³ × 709¹ × 107¹ × 179¹
LCM(38286,38306) = 733291758