GCF and LCM Calculator Logo

What is the Least Common Multiple of 30928 and 30933?

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 30928 and 30933 is 956695824.

LCM(30928,30933) = 956695824

LCM Calculator and
and

Least Common Multiple of 30928 and 30933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30928 and 30933, than apply into the LCM equation.

GCF(30928,30933) = 1
LCM(30928,30933) = ( 30928 × 30933) / 1
LCM(30928,30933) = 956695824 / 1
LCM(30928,30933) = 956695824

Least Common Multiple (LCM) of 30928 and 30933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30928 and 30933. First we will calculate the prime factors of 30928 and 30933.

Prime Factorization of 30928

Prime factors of 30928 are 2, 1933. Prime factorization of 30928 in exponential form is:

30928 = 24 × 19331

Prime Factorization of 30933

Prime factors of 30933 are 3, 7, 491. Prime factorization of 30933 in exponential form is:

30933 = 32 × 71 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 30928 and 30933.

LCM(30928,30933) = 24 × 19331 × 32 × 71 × 4911
LCM(30928,30933) = 956695824