GCF and LCM Calculator Logo

What is the Least Common Multiple of 30135 and 30155?

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 30135 and 30155 is 181744185.

LCM(30135,30155) = 181744185

LCM Calculator and
and

Least Common Multiple of 30135 and 30155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30135 and 30155, than apply into the LCM equation.

GCF(30135,30155) = 5
LCM(30135,30155) = ( 30135 × 30155) / 5
LCM(30135,30155) = 908720925 / 5
LCM(30135,30155) = 181744185

Least Common Multiple (LCM) of 30135 and 30155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30135 and 30155. First we will calculate the prime factors of 30135 and 30155.

Prime Factorization of 30135

Prime factors of 30135 are 3, 5, 7, 41. Prime factorization of 30135 in exponential form is:

30135 = 31 × 51 × 72 × 411

Prime Factorization of 30155

Prime factors of 30155 are 5, 37, 163. Prime factorization of 30155 in exponential form is:

30155 = 51 × 371 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 30135 and 30155.

LCM(30135,30155) = 31 × 51 × 72 × 411 × 371 × 1631
LCM(30135,30155) = 181744185