What is the Least Common Multiple of 85255 and 85273?

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 85255 and 85273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85255 and 85273, than apply into the LCM equation.

GCF(85255,85273) = 1
LCM(85255,85273) = ( 85255 × 85273) / 1
LCM(85255,85273) = 7269949615 / 1
LCM(85255,85273) = 7269949615

Least Common Multiple (LCM) of 85255 and 85273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85255 and 85273. First we will calculate the prime factors of 85255 and 85273.

Prime Factorization of 85255

Prime Factorization of 85273

Now multiplying the highest exponent prime factors to calculate the LCM of 85255 and 85273.

LCM(85255,85273) = 5¹ × 17² × 59¹ × 269¹ × 317¹
LCM(85255,85273) = 7269949615