What is the Least Common Multiple of 57419 and 57439?

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 57419 and 57439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57419 and 57439, than apply into the LCM equation.

GCF(57419,57439) = 1
LCM(57419,57439) = ( 57419 × 57439) / 1
LCM(57419,57439) = 3298089941 / 1
LCM(57419,57439) = 3298089941

Least Common Multiple (LCM) of 57419 and 57439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57419 and 57439. First we will calculate the prime factors of 57419 and 57439.

Prime Factorization of 57419

Prime Factorization of 57439

Now multiplying the highest exponent prime factors to calculate the LCM of 57419 and 57439.

LCM(57419,57439) = 67¹ × 857¹ × 71¹ × 809¹
LCM(57419,57439) = 3298089941