What is the Least Common Multiple of 65419 and 65439?

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 65419 and 65439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65419 and 65439, than apply into the LCM equation.

GCF(65419,65439) = 1
LCM(65419,65439) = ( 65419 × 65439) / 1
LCM(65419,65439) = 4280953941 / 1
LCM(65419,65439) = 4280953941

Least Common Multiple (LCM) of 65419 and 65439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65419 and 65439. First we will calculate the prime factors of 65419 and 65439.

Prime Factorization of 65419

Prime Factorization of 65439

Now multiplying the highest exponent prime factors to calculate the LCM of 65419 and 65439.

LCM(65419,65439) = 65419¹ × 3² × 11¹ × 661¹
LCM(65419,65439) = 4280953941