GCF and LCM Calculator Logo

What is the Least Common Multiple of 4774 and 4791?

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 4774 and 4791 is 22872234.

LCM(4774,4791) = 22872234

LCM Calculator and
and

Least Common Multiple of 4774 and 4791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4774 and 4791, than apply into the LCM equation.

GCF(4774,4791) = 1
LCM(4774,4791) = ( 4774 × 4791) / 1
LCM(4774,4791) = 22872234 / 1
LCM(4774,4791) = 22872234

Least Common Multiple (LCM) of 4774 and 4791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4774 and 4791. First we will calculate the prime factors of 4774 and 4791.

Prime Factorization of 4774

Prime factors of 4774 are 2, 7, 11, 31. Prime factorization of 4774 in exponential form is:

4774 = 21 × 71 × 111 × 311

Prime Factorization of 4791

Prime factors of 4791 are 3, 1597. Prime factorization of 4791 in exponential form is:

4791 = 31 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 4774 and 4791.

LCM(4774,4791) = 21 × 71 × 111 × 311 × 31 × 15971
LCM(4774,4791) = 22872234