GCF and LCM Calculator Logo

What is the Least Common Multiple of 30876 and 30890?

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 30876 and 30890 is 476879820.

LCM(30876,30890) = 476879820

LCM Calculator and
and

Least Common Multiple of 30876 and 30890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30876 and 30890, than apply into the LCM equation.

GCF(30876,30890) = 2
LCM(30876,30890) = ( 30876 × 30890) / 2
LCM(30876,30890) = 953759640 / 2
LCM(30876,30890) = 476879820

Least Common Multiple (LCM) of 30876 and 30890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30876 and 30890. First we will calculate the prime factors of 30876 and 30890.

Prime Factorization of 30876

Prime factors of 30876 are 2, 3, 31, 83. Prime factorization of 30876 in exponential form is:

30876 = 22 × 31 × 311 × 831

Prime Factorization of 30890

Prime factors of 30890 are 2, 5, 3089. Prime factorization of 30890 in exponential form is:

30890 = 21 × 51 × 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 30876 and 30890.

LCM(30876,30890) = 22 × 31 × 311 × 831 × 51 × 30891
LCM(30876,30890) = 476879820