What is the Least Common Multiple of 85269 and 85288?

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 85269 and 85288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85269 and 85288, than apply into the LCM equation.

GCF(85269,85288) = 1
LCM(85269,85288) = ( 85269 × 85288) / 1
LCM(85269,85288) = 7272422472 / 1
LCM(85269,85288) = 7272422472

Least Common Multiple (LCM) of 85269 and 85288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85269 and 85288. First we will calculate the prime factors of 85269 and 85288.

Prime Factorization of 85269

Prime Factorization of 85288

Now multiplying the highest exponent prime factors to calculate the LCM of 85269 and 85288.

LCM(85269,85288) = 3¹ × 43¹ × 661¹ × 2³ × 7¹ × 1523¹
LCM(85269,85288) = 7272422472