What is the Least Common Multiple of 30175 and 30181?

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 30175 and 30181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30175 and 30181, than apply into the LCM equation.

GCF(30175,30181) = 1
LCM(30175,30181) = ( 30175 × 30181) / 1
LCM(30175,30181) = 910711675 / 1
LCM(30175,30181) = 910711675

Least Common Multiple (LCM) of 30175 and 30181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30175 and 30181. First we will calculate the prime factors of 30175 and 30181.

Prime Factorization of 30175

Prime Factorization of 30181

Now multiplying the highest exponent prime factors to calculate the LCM of 30175 and 30181.

LCM(30175,30181) = 5² × 17¹ × 71¹ × 30181¹
LCM(30175,30181) = 910711675