What is the Least Common Multiple of 30153 and 30171?

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 30153 and 30171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30153 and 30171, than apply into the LCM equation.

GCF(30153,30171) = 3
LCM(30153,30171) = ( 30153 × 30171) / 3
LCM(30153,30171) = 909746163 / 3
LCM(30153,30171) = 303248721

Least Common Multiple (LCM) of 30153 and 30171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30153 and 30171. First we will calculate the prime factors of 30153 and 30171.

Prime Factorization of 30153

Prime Factorization of 30171

Now multiplying the highest exponent prime factors to calculate the LCM of 30153 and 30171.

LCM(30153,30171) = 3¹ × 19¹ × 23² × 89¹ × 113¹
LCM(30153,30171) = 303248721