What is the Least Common Multiple of 83049 and 83067?

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 83049 and 83067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83049 and 83067, than apply into the LCM equation.

GCF(83049,83067) = 3
LCM(83049,83067) = ( 83049 × 83067) / 3
LCM(83049,83067) = 6898631283 / 3
LCM(83049,83067) = 2299543761

Least Common Multiple (LCM) of 83049 and 83067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83049 and 83067. First we will calculate the prime factors of 83049 and 83067.

Prime Factorization of 83049

Prime Factorization of 83067

Now multiplying the highest exponent prime factors to calculate the LCM of 83049 and 83067.

LCM(83049,83067) = 3¹ × 19¹ × 31¹ × 47¹ × 27689¹
LCM(83049,83067) = 2299543761