What is the Least Common Multiple of 5213 and 5233?

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 of 5213 and 5233 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 5233, than apply into the LCM equation.

GCF(5213,5233) = 1
LCM(5213,5233) = ( 5213 × 5233) / 1
LCM(5213,5233) = 27279629 / 1
LCM(5213,5233) = 27279629

Least Common Multiple (LCM) of 5213 and 5233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5213 and 5233. First we will calculate the prime factors of 5213 and 5233.

Prime Factorization of 5213

Prime Factorization of 5233

Now multiplying the highest exponent prime factors to calculate the LCM of 5213 and 5233.

LCM(5213,5233) = 13¹ × 401¹ × 5233¹
LCM(5213,5233) = 27279629