What is the Least Common Multiple of 81223 and 81241?

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 81223 and 81241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81223 and 81241, than apply into the LCM equation.

GCF(81223,81241) = 1
LCM(81223,81241) = ( 81223 × 81241) / 1
LCM(81223,81241) = 6598637743 / 1
LCM(81223,81241) = 6598637743

Least Common Multiple (LCM) of 81223 and 81241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81223 and 81241. First we will calculate the prime factors of 81223 and 81241.

Prime Factorization of 81223

Prime Factorization of 81241

Now multiplying the highest exponent prime factors to calculate the LCM of 81223 and 81241.

LCM(81223,81241) = 81223¹ × 137¹ × 593¹
LCM(81223,81241) = 6598637743