What is the Least Common Multiple of 85567 and 85578?

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 85567 and 85578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85567 and 85578, than apply into the LCM equation.

GCF(85567,85578) = 1
LCM(85567,85578) = ( 85567 × 85578) / 1
LCM(85567,85578) = 7322652726 / 1
LCM(85567,85578) = 7322652726

Least Common Multiple (LCM) of 85567 and 85578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85567 and 85578. First we will calculate the prime factors of 85567 and 85578.

Prime Factorization of 85567

Prime Factorization of 85578

Now multiplying the highest exponent prime factors to calculate the LCM of 85567 and 85578.

LCM(85567,85578) = 41¹ × 2087¹ × 2¹ × 3¹ × 17¹ × 839¹
LCM(85567,85578) = 7322652726