GCF and LCM Calculator Logo

What is the Least Common Multiple of 30153 and 30168?

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 (LCM) of 30153 and 30168 is 303218568.

LCM(30153,30168) = 303218568

LCM Calculator and
and

Least Common Multiple of 30153 and 30168 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 30168, than apply into the LCM equation.

GCF(30153,30168) = 3
LCM(30153,30168) = ( 30153 × 30168) / 3
LCM(30153,30168) = 909655704 / 3
LCM(30153,30168) = 303218568

Least Common Multiple (LCM) of 30153 and 30168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30153 and 30168. First we will calculate the prime factors of 30153 and 30168.

Prime Factorization of 30153

Prime factors of 30153 are 3, 19, 23. Prime factorization of 30153 in exponential form is:

30153 = 31 × 191 × 232

Prime Factorization of 30168

Prime factors of 30168 are 2, 3, 419. Prime factorization of 30168 in exponential form is:

30168 = 23 × 32 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 30153 and 30168.

LCM(30153,30168) = 32 × 191 × 232 × 23 × 4191
LCM(30153,30168) = 303218568