What is the Least Common Multiple of 85458 and 85472?

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 85458 and 85472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85458 and 85472, than apply into the LCM equation.

GCF(85458,85472) = 2
LCM(85458,85472) = ( 85458 × 85472) / 2
LCM(85458,85472) = 7304266176 / 2
LCM(85458,85472) = 3652133088

Least Common Multiple (LCM) of 85458 and 85472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85458 and 85472. First we will calculate the prime factors of 85458 and 85472.

Prime Factorization of 85458

Prime Factorization of 85472

Now multiplying the highest exponent prime factors to calculate the LCM of 85458 and 85472.

LCM(85458,85472) = 2⁵ × 3¹ × 14243¹ × 2671¹
LCM(85458,85472) = 3652133088