What is the Least Common Multiple of 19259 and 19277?

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 19259 and 19277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19259 and 19277, than apply into the LCM equation.

GCF(19259,19277) = 1
LCM(19259,19277) = ( 19259 × 19277) / 1
LCM(19259,19277) = 371255743 / 1
LCM(19259,19277) = 371255743

Least Common Multiple (LCM) of 19259 and 19277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19259 and 19277. First we will calculate the prime factors of 19259 and 19277.

Prime Factorization of 19259

Prime Factorization of 19277

Now multiplying the highest exponent prime factors to calculate the LCM of 19259 and 19277.

LCM(19259,19277) = 19259¹ × 37¹ × 521¹
LCM(19259,19277) = 371255743