What is the Least Common Multiple of 96566 and 96586?

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 96566 and 96586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96566 and 96586, than apply into the LCM equation.

GCF(96566,96586) = 2
LCM(96566,96586) = ( 96566 × 96586) / 2
LCM(96566,96586) = 9326923676 / 2
LCM(96566,96586) = 4663461838

Least Common Multiple (LCM) of 96566 and 96586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96566 and 96586. First we will calculate the prime factors of 96566 and 96586.

Prime Factorization of 96566

Prime Factorization of 96586

Now multiplying the highest exponent prime factors to calculate the LCM of 96566 and 96586.

LCM(96566,96586) = 2¹ × 53¹ × 911¹ × 7¹ × 6899¹
LCM(96566,96586) = 4663461838