What is the Least Common Multiple of 85529 and 85545?

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 85529 and 85545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85529 and 85545, than apply into the LCM equation.

GCF(85529,85545) = 1
LCM(85529,85545) = ( 85529 × 85545) / 1
LCM(85529,85545) = 7316578305 / 1
LCM(85529,85545) = 7316578305

Least Common Multiple (LCM) of 85529 and 85545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85529 and 85545. First we will calculate the prime factors of 85529 and 85545.

Prime Factorization of 85529

Prime Factorization of 85545

Now multiplying the highest exponent prime factors to calculate the LCM of 85529 and 85545.

LCM(85529,85545) = 31² × 89¹ × 3² × 5¹ × 1901¹
LCM(85529,85545) = 7316578305