What is the Least Common Multiple of 38305 and 38315?

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 38305 and 38315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38305 and 38315, than apply into the LCM equation.

GCF(38305,38315) = 5
LCM(38305,38315) = ( 38305 × 38315) / 5
LCM(38305,38315) = 1467656075 / 5
LCM(38305,38315) = 293531215

Least Common Multiple (LCM) of 38305 and 38315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38305 and 38315. First we will calculate the prime factors of 38305 and 38315.

Prime Factorization of 38305

Prime Factorization of 38315

Now multiplying the highest exponent prime factors to calculate the LCM of 38305 and 38315.

LCM(38305,38315) = 5¹ × 47¹ × 163¹ × 79¹ × 97¹
LCM(38305,38315) = 293531215