GCF and LCM Calculator Logo

What is the Least Common Multiple of 5213 and 5219?

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 5213 and 5219 is 27206647.

LCM(5213,5219) = 27206647

LCM Calculator and
and

Least Common Multiple of 5213 and 5219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5213 and 5219, than apply into the LCM equation.

GCF(5213,5219) = 1
LCM(5213,5219) = ( 5213 × 5219) / 1
LCM(5213,5219) = 27206647 / 1
LCM(5213,5219) = 27206647

Least Common Multiple (LCM) of 5213 and 5219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5213 and 5219. First we will calculate the prime factors of 5213 and 5219.

Prime Factorization of 5213

Prime factors of 5213 are 13, 401. Prime factorization of 5213 in exponential form is:

5213 = 131 × 4011

Prime Factorization of 5219

Prime factors of 5219 are 17, 307. Prime factorization of 5219 in exponential form is:

5219 = 171 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 5213 and 5219.

LCM(5213,5219) = 131 × 4011 × 171 × 3071
LCM(5213,5219) = 27206647