What is the Least Common Multiple of 83260 and 83279?

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 83260 and 83279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83260 and 83279, than apply into the LCM equation.

GCF(83260,83279) = 1
LCM(83260,83279) = ( 83260 × 83279) / 1
LCM(83260,83279) = 6933809540 / 1
LCM(83260,83279) = 6933809540

Least Common Multiple (LCM) of 83260 and 83279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83260 and 83279. First we will calculate the prime factors of 83260 and 83279.

Prime Factorization of 83260

Prime Factorization of 83279

Now multiplying the highest exponent prime factors to calculate the LCM of 83260 and 83279.

LCM(83260,83279) = 2² × 5¹ × 23¹ × 181¹ × 7¹ × 11897¹
LCM(83260,83279) = 6933809540