What is the Least Common Multiple of 38300 and 38305?

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 38300 and 38305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38300 and 38305, than apply into the LCM equation.

GCF(38300,38305) = 5
LCM(38300,38305) = ( 38300 × 38305) / 5
LCM(38300,38305) = 1467081500 / 5
LCM(38300,38305) = 293416300

Least Common Multiple (LCM) of 38300 and 38305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38300 and 38305. First we will calculate the prime factors of 38300 and 38305.

Prime Factorization of 38300

Prime Factorization of 38305

Now multiplying the highest exponent prime factors to calculate the LCM of 38300 and 38305.

LCM(38300,38305) = 2² × 5² × 383¹ × 47¹ × 163¹
LCM(38300,38305) = 293416300