GCF and LCM Calculator Logo

What is the Least Common Multiple of 30774 and 30793?

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 30774 and 30793 is 947623782.

LCM(30774,30793) = 947623782

LCM Calculator and
and

Least Common Multiple of 30774 and 30793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30774 and 30793, than apply into the LCM equation.

GCF(30774,30793) = 1
LCM(30774,30793) = ( 30774 × 30793) / 1
LCM(30774,30793) = 947623782 / 1
LCM(30774,30793) = 947623782

Least Common Multiple (LCM) of 30774 and 30793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30774 and 30793. First we will calculate the prime factors of 30774 and 30793.

Prime Factorization of 30774

Prime factors of 30774 are 2, 3, 23, 223. Prime factorization of 30774 in exponential form is:

30774 = 21 × 31 × 231 × 2231

Prime Factorization of 30793

Prime factors of 30793 are 7, 53, 83. Prime factorization of 30793 in exponential form is:

30793 = 71 × 531 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 30774 and 30793.

LCM(30774,30793) = 21 × 31 × 231 × 2231 × 71 × 531 × 831
LCM(30774,30793) = 947623782