What is the Least Common Multiple of 38355 and 38371?

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 38355 and 38371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38355 and 38371, than apply into the LCM equation.

GCF(38355,38371) = 1
LCM(38355,38371) = ( 38355 × 38371) / 1
LCM(38355,38371) = 1471719705 / 1
LCM(38355,38371) = 1471719705

Least Common Multiple (LCM) of 38355 and 38371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38355 and 38371. First we will calculate the prime factors of 38355 and 38371.

Prime Factorization of 38355

Prime Factorization of 38371

Now multiplying the highest exponent prime factors to calculate the LCM of 38355 and 38371.

LCM(38355,38371) = 3¹ × 5¹ × 2557¹ × 38371¹
LCM(38355,38371) = 1471719705