GCF and LCM Calculator Logo

What is the Least Common Multiple of 30645 and 30658?

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 30645 and 30658 is 939514410.

LCM(30645,30658) = 939514410

LCM Calculator and
and

Least Common Multiple of 30645 and 30658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30645 and 30658, than apply into the LCM equation.

GCF(30645,30658) = 1
LCM(30645,30658) = ( 30645 × 30658) / 1
LCM(30645,30658) = 939514410 / 1
LCM(30645,30658) = 939514410

Least Common Multiple (LCM) of 30645 and 30658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30645 and 30658. First we will calculate the prime factors of 30645 and 30658.

Prime Factorization of 30645

Prime factors of 30645 are 3, 5, 227. Prime factorization of 30645 in exponential form is:

30645 = 33 × 51 × 2271

Prime Factorization of 30658

Prime factors of 30658 are 2, 15329. Prime factorization of 30658 in exponential form is:

30658 = 21 × 153291

Now multiplying the highest exponent prime factors to calculate the LCM of 30645 and 30658.

LCM(30645,30658) = 33 × 51 × 2271 × 21 × 153291
LCM(30645,30658) = 939514410