What is the Least Common Multiple of 35115 and 35125?

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 35115 and 35125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35115 and 35125, than apply into the LCM equation.

GCF(35115,35125) = 5
LCM(35115,35125) = ( 35115 × 35125) / 5
LCM(35115,35125) = 1233414375 / 5
LCM(35115,35125) = 246682875

Least Common Multiple (LCM) of 35115 and 35125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35115 and 35125. First we will calculate the prime factors of 35115 and 35125.

Prime Factorization of 35115

Prime Factorization of 35125

Now multiplying the highest exponent prime factors to calculate the LCM of 35115 and 35125.

LCM(35115,35125) = 3¹ × 5³ × 2341¹ × 281¹
LCM(35115,35125) = 246682875