What is the Least Common Multiple of 85251 and 85269?

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 85251 and 85269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85251 and 85269, than apply into the LCM equation.

GCF(85251,85269) = 3
LCM(85251,85269) = ( 85251 × 85269) / 3
LCM(85251,85269) = 7269267519 / 3
LCM(85251,85269) = 2423089173

Least Common Multiple (LCM) of 85251 and 85269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85251 and 85269. First we will calculate the prime factors of 85251 and 85269.

Prime Factorization of 85251

Prime Factorization of 85269

Now multiplying the highest exponent prime factors to calculate the LCM of 85251 and 85269.

LCM(85251,85269) = 3¹ × 157¹ × 181¹ × 43¹ × 661¹
LCM(85251,85269) = 2423089173