What is the Least Common Multiple of 19211 and 19231?

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 19211 and 19231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19211 and 19231, than apply into the LCM equation.

GCF(19211,19231) = 1
LCM(19211,19231) = ( 19211 × 19231) / 1
LCM(19211,19231) = 369446741 / 1
LCM(19211,19231) = 369446741

Least Common Multiple (LCM) of 19211 and 19231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19211 and 19231. First we will calculate the prime factors of 19211 and 19231.

Prime Factorization of 19211

Prime Factorization of 19231

Now multiplying the highest exponent prime factors to calculate the LCM of 19211 and 19231.

LCM(19211,19231) = 19211¹ × 19231¹
LCM(19211,19231) = 369446741