What is the Least Common Multiple of 38845 and 38855?

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 38845 and 38855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38845 and 38855, than apply into the LCM equation.

GCF(38845,38855) = 5
LCM(38845,38855) = ( 38845 × 38855) / 5
LCM(38845,38855) = 1509322475 / 5
LCM(38845,38855) = 301864495

Least Common Multiple (LCM) of 38845 and 38855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38845 and 38855. First we will calculate the prime factors of 38845 and 38855.

Prime Factorization of 38845

Prime Factorization of 38855

Now multiplying the highest exponent prime factors to calculate the LCM of 38845 and 38855.

LCM(38845,38855) = 5¹ × 17¹ × 457¹ × 19¹ × 409¹
LCM(38845,38855) = 301864495