What is the Least Common Multiple of 83259 and 83278?

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 83259 and 83278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83259 and 83278, than apply into the LCM equation.

GCF(83259,83278) = 1
LCM(83259,83278) = ( 83259 × 83278) / 1
LCM(83259,83278) = 6933643002 / 1
LCM(83259,83278) = 6933643002

Least Common Multiple (LCM) of 83259 and 83278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83259 and 83278. First we will calculate the prime factors of 83259 and 83278.

Prime Factorization of 83259

Prime Factorization of 83278

Now multiplying the highest exponent prime factors to calculate the LCM of 83259 and 83278.

LCM(83259,83278) = 3² × 11¹ × 29² × 2¹ × 13¹ × 3203¹
LCM(83259,83278) = 6933643002