What is the Least Common Multiple of 38238 and 38253?

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 38238 and 38253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38238 and 38253, than apply into the LCM equation.

GCF(38238,38253) = 3
LCM(38238,38253) = ( 38238 × 38253) / 3
LCM(38238,38253) = 1462718214 / 3
LCM(38238,38253) = 487572738

Least Common Multiple (LCM) of 38238 and 38253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38238 and 38253. First we will calculate the prime factors of 38238 and 38253.

Prime Factorization of 38238

Prime Factorization of 38253

Now multiplying the highest exponent prime factors to calculate the LCM of 38238 and 38253.

LCM(38238,38253) = 2¹ × 3¹ × 6373¹ × 41¹ × 311¹
LCM(38238,38253) = 487572738