What is the Least Common Multiple of 38290 and 38295?

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 38290 and 38295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38290 and 38295, than apply into the LCM equation.

GCF(38290,38295) = 5
LCM(38290,38295) = ( 38290 × 38295) / 5
LCM(38290,38295) = 1466315550 / 5
LCM(38290,38295) = 293263110

Least Common Multiple (LCM) of 38290 and 38295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38290 and 38295. First we will calculate the prime factors of 38290 and 38295.

Prime Factorization of 38290

Prime Factorization of 38295

Now multiplying the highest exponent prime factors to calculate the LCM of 38290 and 38295.

LCM(38290,38295) = 2¹ × 5¹ × 7¹ × 547¹ × 3² × 23¹ × 37¹
LCM(38290,38295) = 293263110