What is the Least Common Multiple of 85125 and 85131?

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 85125 and 85131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85125 and 85131, than apply into the LCM equation.

GCF(85125,85131) = 3
LCM(85125,85131) = ( 85125 × 85131) / 3
LCM(85125,85131) = 7246776375 / 3
LCM(85125,85131) = 2415592125

Least Common Multiple (LCM) of 85125 and 85131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85125 and 85131. First we will calculate the prime factors of 85125 and 85131.

Prime Factorization of 85125

Prime Factorization of 85131

Now multiplying the highest exponent prime factors to calculate the LCM of 85125 and 85131.

LCM(85125,85131) = 3⁴ × 5³ × 227¹ × 1051¹
LCM(85125,85131) = 2415592125