GCF and LCM Calculator Logo

What is the Least Common Multiple of 30876 and 30882?

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 30882 is 158918772.

LCM(30876,30882) = 158918772

LCM Calculator and
and

Least Common Multiple of 30876 and 30882 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 30882, than apply into the LCM equation.

GCF(30876,30882) = 6
LCM(30876,30882) = ( 30876 × 30882) / 6
LCM(30876,30882) = 953512632 / 6
LCM(30876,30882) = 158918772

Least Common Multiple (LCM) of 30876 and 30882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30876 and 30882. First we will calculate the prime factors of 30876 and 30882.

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 30882

Prime factors of 30882 are 2, 3, 5147. Prime factorization of 30882 in exponential form is:

30882 = 21 × 31 × 51471

Now multiplying the highest exponent prime factors to calculate the LCM of 30876 and 30882.

LCM(30876,30882) = 22 × 31 × 311 × 831 × 51471
LCM(30876,30882) = 158918772