GCF and LCM Calculator Logo

What is the Least Common Multiple of 30909 and 30915?

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 30909 and 30915 is 318517245.

LCM(30909,30915) = 318517245

LCM Calculator and
and

Least Common Multiple of 30909 and 30915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30909 and 30915, than apply into the LCM equation.

GCF(30909,30915) = 3
LCM(30909,30915) = ( 30909 × 30915) / 3
LCM(30909,30915) = 955551735 / 3
LCM(30909,30915) = 318517245

Least Common Multiple (LCM) of 30909 and 30915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30909 and 30915. First we will calculate the prime factors of 30909 and 30915.

Prime Factorization of 30909

Prime factors of 30909 are 3, 10303. Prime factorization of 30909 in exponential form is:

30909 = 31 × 103031

Prime Factorization of 30915

Prime factors of 30915 are 3, 5, 229. Prime factorization of 30915 in exponential form is:

30915 = 33 × 51 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 30909 and 30915.

LCM(30909,30915) = 33 × 103031 × 51 × 2291
LCM(30909,30915) = 318517245