What is the Least Common Multiple of 85686 and 85698?

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 85686 and 85698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85686 and 85698, than apply into the LCM equation.

GCF(85686,85698) = 6
LCM(85686,85698) = ( 85686 × 85698) / 6
LCM(85686,85698) = 7343118828 / 6
LCM(85686,85698) = 1223853138

Least Common Multiple (LCM) of 85686 and 85698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85686 and 85698. First we will calculate the prime factors of 85686 and 85698.

Prime Factorization of 85686

Prime Factorization of 85698

Now multiplying the highest exponent prime factors to calculate the LCM of 85686 and 85698.

LCM(85686,85698) = 2¹ × 3⁴ × 14281¹ × 23²
LCM(85686,85698) = 1223853138