What is the Least Common Multiple of 38360 and 38365?

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 38360 and 38365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38360 and 38365, than apply into the LCM equation.

GCF(38360,38365) = 5
LCM(38360,38365) = ( 38360 × 38365) / 5
LCM(38360,38365) = 1471681400 / 5
LCM(38360,38365) = 294336280

Least Common Multiple (LCM) of 38360 and 38365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38360 and 38365. First we will calculate the prime factors of 38360 and 38365.

Prime Factorization of 38360

Prime Factorization of 38365

Now multiplying the highest exponent prime factors to calculate the LCM of 38360 and 38365.

LCM(38360,38365) = 2³ × 5¹ × 7¹ × 137¹ × 7673¹
LCM(38360,38365) = 294336280