What is the Least Common Multiple of 38098 and 38111?

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 38098 and 38111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38098 and 38111, than apply into the LCM equation.

GCF(38098,38111) = 1
LCM(38098,38111) = ( 38098 × 38111) / 1
LCM(38098,38111) = 1451952878 / 1
LCM(38098,38111) = 1451952878

Least Common Multiple (LCM) of 38098 and 38111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38098 and 38111. First we will calculate the prime factors of 38098 and 38111.

Prime Factorization of 38098

Prime Factorization of 38111

Now multiplying the highest exponent prime factors to calculate the LCM of 38098 and 38111.

LCM(38098,38111) = 2¹ × 43¹ × 443¹ × 23¹ × 1657¹
LCM(38098,38111) = 1451952878