What is the Least Common Multiple of 81226 and 81244?

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 81226 and 81244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81226 and 81244, than apply into the LCM equation.

GCF(81226,81244) = 2
LCM(81226,81244) = ( 81226 × 81244) / 2
LCM(81226,81244) = 6599125144 / 2
LCM(81226,81244) = 3299562572

Least Common Multiple (LCM) of 81226 and 81244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81226 and 81244. First we will calculate the prime factors of 81226 and 81244.

Prime Factorization of 81226

Prime Factorization of 81244

Now multiplying the highest exponent prime factors to calculate the LCM of 81226 and 81244.

LCM(81226,81244) = 2² × 17¹ × 2389¹ × 19¹ × 1069¹
LCM(81226,81244) = 3299562572