What is the Least Common Multiple of 38357 and 38377?

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 38357 and 38377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38357 and 38377, than apply into the LCM equation.

GCF(38357,38377) = 1
LCM(38357,38377) = ( 38357 × 38377) / 1
LCM(38357,38377) = 1472026589 / 1
LCM(38357,38377) = 1472026589

Least Common Multiple (LCM) of 38357 and 38377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38357 and 38377. First we will calculate the prime factors of 38357 and 38377.

Prime Factorization of 38357

Prime Factorization of 38377

Now multiplying the highest exponent prime factors to calculate the LCM of 38357 and 38377.

LCM(38357,38377) = 11² × 317¹ × 38377¹
LCM(38357,38377) = 1472026589