GCF and LCM Calculator Logo

What is the Least Common Multiple of 30771 and 30788?

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 30771 and 30788 is 947377548.

LCM(30771,30788) = 947377548

LCM Calculator and
and

Least Common Multiple of 30771 and 30788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30771 and 30788, than apply into the LCM equation.

GCF(30771,30788) = 1
LCM(30771,30788) = ( 30771 × 30788) / 1
LCM(30771,30788) = 947377548 / 1
LCM(30771,30788) = 947377548

Least Common Multiple (LCM) of 30771 and 30788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30771 and 30788. First we will calculate the prime factors of 30771 and 30788.

Prime Factorization of 30771

Prime factors of 30771 are 3, 13, 263. Prime factorization of 30771 in exponential form is:

30771 = 32 × 131 × 2631

Prime Factorization of 30788

Prime factors of 30788 are 2, 43, 179. Prime factorization of 30788 in exponential form is:

30788 = 22 × 431 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 30771 and 30788.

LCM(30771,30788) = 32 × 131 × 2631 × 22 × 431 × 1791
LCM(30771,30788) = 947377548