What is the Least Common Multiple of 81244 and 81259?

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 81244 and 81259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81244 and 81259, than apply into the LCM equation.

GCF(81244,81259) = 1
LCM(81244,81259) = ( 81244 × 81259) / 1
LCM(81244,81259) = 6601806196 / 1
LCM(81244,81259) = 6601806196

Least Common Multiple (LCM) of 81244 and 81259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81244 and 81259. First we will calculate the prime factors of 81244 and 81259.

Prime Factorization of 81244

Prime Factorization of 81259

Now multiplying the highest exponent prime factors to calculate the LCM of 81244 and 81259.

LCM(81244,81259) = 2² × 19¹ × 1069¹ × 23¹ × 3533¹
LCM(81244,81259) = 6601806196