What is the Least Common Multiple of 85548 and 85563?

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 85548 and 85563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85548 and 85563, than apply into the LCM equation.

GCF(85548,85563) = 3
LCM(85548,85563) = ( 85548 × 85563) / 3
LCM(85548,85563) = 7319743524 / 3
LCM(85548,85563) = 2439914508

Least Common Multiple (LCM) of 85548 and 85563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85548 and 85563. First we will calculate the prime factors of 85548 and 85563.

Prime Factorization of 85548

Prime Factorization of 85563

Now multiplying the highest exponent prime factors to calculate the LCM of 85548 and 85563.

LCM(85548,85563) = 2² × 3³ × 7129¹ × 3169¹
LCM(85548,85563) = 2439914508