What is the Least Common Multiple of 85475 and 85495?

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 85475 and 85495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85475 and 85495, than apply into the LCM equation.

GCF(85475,85495) = 5
LCM(85475,85495) = ( 85475 × 85495) / 5
LCM(85475,85495) = 7307685125 / 5
LCM(85475,85495) = 1461537025

Least Common Multiple (LCM) of 85475 and 85495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85475 and 85495. First we will calculate the prime factors of 85475 and 85495.

Prime Factorization of 85475

Prime Factorization of 85495

Now multiplying the highest exponent prime factors to calculate the LCM of 85475 and 85495.

LCM(85475,85495) = 5² × 13¹ × 263¹ × 17099¹
LCM(85475,85495) = 1461537025