GCF and LCM Calculator Logo

What is the Least Common Multiple of 4766 and 4771?

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 4766 and 4771 is 22738586.

LCM(4766,4771) = 22738586

LCM Calculator and
and

Least Common Multiple of 4766 and 4771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4766 and 4771, than apply into the LCM equation.

GCF(4766,4771) = 1
LCM(4766,4771) = ( 4766 × 4771) / 1
LCM(4766,4771) = 22738586 / 1
LCM(4766,4771) = 22738586

Least Common Multiple (LCM) of 4766 and 4771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4766 and 4771. First we will calculate the prime factors of 4766 and 4771.

Prime Factorization of 4766

Prime factors of 4766 are 2, 2383. Prime factorization of 4766 in exponential form is:

4766 = 21 × 23831

Prime Factorization of 4771

Prime factors of 4771 are 13, 367. Prime factorization of 4771 in exponential form is:

4771 = 131 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 4766 and 4771.

LCM(4766,4771) = 21 × 23831 × 131 × 3671
LCM(4766,4771) = 22738586