What is the Least Common Multiple of 81577 and 81586?

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 81577 and 81586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81577 and 81586, than apply into the LCM equation.

GCF(81577,81586) = 1
LCM(81577,81586) = ( 81577 × 81586) / 1
LCM(81577,81586) = 6655541122 / 1
LCM(81577,81586) = 6655541122

Least Common Multiple (LCM) of 81577 and 81586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81577 and 81586. First we will calculate the prime factors of 81577 and 81586.

Prime Factorization of 81577

Prime Factorization of 81586

Now multiplying the highest exponent prime factors to calculate the LCM of 81577 and 81586.

LCM(81577,81586) = 29² × 97¹ × 2¹ × 19² × 113¹
LCM(81577,81586) = 6655541122