GCF and LCM Calculator Logo

What is the Least Common Multiple of 4833 and 4853?

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 4833 and 4853 is 23454549.

LCM(4833,4853) = 23454549

LCM Calculator and
and

Least Common Multiple of 4833 and 4853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4833 and 4853, than apply into the LCM equation.

GCF(4833,4853) = 1
LCM(4833,4853) = ( 4833 × 4853) / 1
LCM(4833,4853) = 23454549 / 1
LCM(4833,4853) = 23454549

Least Common Multiple (LCM) of 4833 and 4853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4833 and 4853. First we will calculate the prime factors of 4833 and 4853.

Prime Factorization of 4833

Prime factors of 4833 are 3, 179. Prime factorization of 4833 in exponential form is:

4833 = 33 × 1791

Prime Factorization of 4853

Prime factors of 4853 are 23, 211. Prime factorization of 4853 in exponential form is:

4853 = 231 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 4833 and 4853.

LCM(4833,4853) = 33 × 1791 × 231 × 2111
LCM(4833,4853) = 23454549