What is the Least Common Multiple of 30162 and 30175?

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 30162 and 30175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30162 and 30175, than apply into the LCM equation.

GCF(30162,30175) = 1
LCM(30162,30175) = ( 30162 × 30175) / 1
LCM(30162,30175) = 910138350 / 1
LCM(30162,30175) = 910138350

Least Common Multiple (LCM) of 30162 and 30175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30162 and 30175. First we will calculate the prime factors of 30162 and 30175.

Prime Factorization of 30162

Prime Factorization of 30175

Now multiplying the highest exponent prime factors to calculate the LCM of 30162 and 30175.

LCM(30162,30175) = 2¹ × 3¹ × 11¹ × 457¹ × 5² × 17¹ × 71¹
LCM(30162,30175) = 910138350