What is the Least Common Multiple of 82561 and 82579?

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 82561 and 82579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82561 and 82579, than apply into the LCM equation.

GCF(82561,82579) = 1
LCM(82561,82579) = ( 82561 × 82579) / 1
LCM(82561,82579) = 6817804819 / 1
LCM(82561,82579) = 6817804819

Least Common Multiple (LCM) of 82561 and 82579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82561 and 82579. First we will calculate the prime factors of 82561 and 82579.

Prime Factorization of 82561

Prime Factorization of 82579

Now multiplying the highest exponent prime factors to calculate the LCM of 82561 and 82579.

LCM(82561,82579) = 82561¹ × 7¹ × 47¹ × 251¹
LCM(82561,82579) = 6817804819