What is the Least Common Multiple of 85125 and 85141?

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 85141 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 85141, than apply into the LCM equation.

GCF(85125,85141) = 1
LCM(85125,85141) = ( 85125 × 85141) / 1
LCM(85125,85141) = 7247627625 / 1
LCM(85125,85141) = 7247627625

Least Common Multiple (LCM) of 85125 and 85141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85125 and 85141. First we will calculate the prime factors of 85125 and 85141.

Prime Factorization of 85125

Prime Factorization of 85141

Now multiplying the highest exponent prime factors to calculate the LCM of 85125 and 85141.

LCM(85125,85141) = 3¹ × 5³ × 227¹ × 7¹ × 12163¹
LCM(85125,85141) = 7247627625