What is the Least Common Multiple of 38295 and 38310?

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 38295 and 38310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38295 and 38310, than apply into the LCM equation.

GCF(38295,38310) = 15
LCM(38295,38310) = ( 38295 × 38310) / 15
LCM(38295,38310) = 1467081450 / 15
LCM(38295,38310) = 97805430

Least Common Multiple (LCM) of 38295 and 38310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38295 and 38310. First we will calculate the prime factors of 38295 and 38310.

Prime Factorization of 38295

Prime Factorization of 38310

Now multiplying the highest exponent prime factors to calculate the LCM of 38295 and 38310.

LCM(38295,38310) = 3² × 5¹ × 23¹ × 37¹ × 2¹ × 1277¹
LCM(38295,38310) = 97805430