What is the Least Common Multiple of 35175 and 35180?

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 35175 and 35180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35175 and 35180, than apply into the LCM equation.

GCF(35175,35180) = 5
LCM(35175,35180) = ( 35175 × 35180) / 5
LCM(35175,35180) = 1237456500 / 5
LCM(35175,35180) = 247491300

Least Common Multiple (LCM) of 35175 and 35180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35175 and 35180. First we will calculate the prime factors of 35175 and 35180.

Prime Factorization of 35175

Prime Factorization of 35180

Now multiplying the highest exponent prime factors to calculate the LCM of 35175 and 35180.

LCM(35175,35180) = 3¹ × 5² × 7¹ × 67¹ × 2² × 1759¹
LCM(35175,35180) = 247491300