GCF and LCM Calculator Logo

What is the Least Common Multiple of 30908 and 30913?

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 30908 and 30913 is 955459004.

LCM(30908,30913) = 955459004

LCM Calculator and
and

Least Common Multiple of 30908 and 30913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30908 and 30913, than apply into the LCM equation.

GCF(30908,30913) = 1
LCM(30908,30913) = ( 30908 × 30913) / 1
LCM(30908,30913) = 955459004 / 1
LCM(30908,30913) = 955459004

Least Common Multiple (LCM) of 30908 and 30913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30908 and 30913. First we will calculate the prime factors of 30908 and 30913.

Prime Factorization of 30908

Prime factors of 30908 are 2, 7727. Prime factorization of 30908 in exponential form is:

30908 = 22 × 77271

Prime Factorization of 30913

Prime factors of 30913 are 19, 1627. Prime factorization of 30913 in exponential form is:

30913 = 191 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 30908 and 30913.

LCM(30908,30913) = 22 × 77271 × 191 × 16271
LCM(30908,30913) = 955459004