What is the Least Common Multiple of 83431 and 83441?

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 83431 and 83441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83431 and 83441, than apply into the LCM equation.

GCF(83431,83441) = 1
LCM(83431,83441) = ( 83431 × 83441) / 1
LCM(83431,83441) = 6961566071 / 1
LCM(83431,83441) = 6961566071

Least Common Multiple (LCM) of 83431 and 83441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83431 and 83441. First we will calculate the prime factors of 83431 and 83441.

Prime Factorization of 83431

Prime Factorization of 83441

Now multiplying the highest exponent prime factors to calculate the LCM of 83431 and 83441.

LCM(83431,83441) = 83431¹ × 181¹ × 461¹
LCM(83431,83441) = 6961566071