GCF and LCM Calculator Logo

What is the Least Common Multiple of 5223 and 5238?

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 5223 and 5238 is 9119358.

LCM(5223,5238) = 9119358

LCM Calculator and
and

Least Common Multiple of 5223 and 5238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5223 and 5238, than apply into the LCM equation.

GCF(5223,5238) = 3
LCM(5223,5238) = ( 5223 × 5238) / 3
LCM(5223,5238) = 27358074 / 3
LCM(5223,5238) = 9119358

Least Common Multiple (LCM) of 5223 and 5238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5223 and 5238. First we will calculate the prime factors of 5223 and 5238.

Prime Factorization of 5223

Prime factors of 5223 are 3, 1741. Prime factorization of 5223 in exponential form is:

5223 = 31 × 17411

Prime Factorization of 5238

Prime factors of 5238 are 2, 3, 97. Prime factorization of 5238 in exponential form is:

5238 = 21 × 33 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 5223 and 5238.

LCM(5223,5238) = 33 × 17411 × 21 × 971
LCM(5223,5238) = 9119358