What is the Least Common Multiple of 11419 and 11439?

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 11419 and 11439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11419 and 11439, than apply into the LCM equation.

GCF(11419,11439) = 1
LCM(11419,11439) = ( 11419 × 11439) / 1
LCM(11419,11439) = 130621941 / 1
LCM(11419,11439) = 130621941

Least Common Multiple (LCM) of 11419 and 11439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11419 and 11439. First we will calculate the prime factors of 11419 and 11439.

Prime Factorization of 11419

Prime Factorization of 11439

Now multiplying the highest exponent prime factors to calculate the LCM of 11419 and 11439.

LCM(11419,11439) = 19¹ × 601¹ × 3² × 31¹ × 41¹
LCM(11419,11439) = 130621941