GCF and LCM Calculator Logo

What is the Least Common Multiple of 30796 and 30808?

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 30796 and 30808 is 237190792.

LCM(30796,30808) = 237190792

LCM Calculator and
and

Least Common Multiple of 30796 and 30808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30796 and 30808, than apply into the LCM equation.

GCF(30796,30808) = 4
LCM(30796,30808) = ( 30796 × 30808) / 4
LCM(30796,30808) = 948763168 / 4
LCM(30796,30808) = 237190792

Least Common Multiple (LCM) of 30796 and 30808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30796 and 30808. First we will calculate the prime factors of 30796 and 30808.

Prime Factorization of 30796

Prime factors of 30796 are 2, 7699. Prime factorization of 30796 in exponential form is:

30796 = 22 × 76991

Prime Factorization of 30808

Prime factors of 30808 are 2, 3851. Prime factorization of 30808 in exponential form is:

30808 = 23 × 38511

Now multiplying the highest exponent prime factors to calculate the LCM of 30796 and 30808.

LCM(30796,30808) = 23 × 76991 × 38511
LCM(30796,30808) = 237190792