What is the Least Common Multiple of 38257 and 38263?

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 38257 and 38263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38257 and 38263, than apply into the LCM equation.

GCF(38257,38263) = 1
LCM(38257,38263) = ( 38257 × 38263) / 1
LCM(38257,38263) = 1463827591 / 1
LCM(38257,38263) = 1463827591

Least Common Multiple (LCM) of 38257 and 38263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38257 and 38263. First we will calculate the prime factors of 38257 and 38263.

Prime Factorization of 38257

Prime Factorization of 38263

Now multiplying the highest exponent prime factors to calculate the LCM of 38257 and 38263.

LCM(38257,38263) = 67¹ × 571¹ × 83¹ × 461¹
LCM(38257,38263) = 1463827591