What is the Least Common Multiple of 5219 and 5239?

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 5219 and 5239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5219 and 5239, than apply into the LCM equation.

GCF(5219,5239) = 1
LCM(5219,5239) = ( 5219 × 5239) / 1
LCM(5219,5239) = 27342341 / 1
LCM(5219,5239) = 27342341

Least Common Multiple (LCM) of 5219 and 5239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5219 and 5239. First we will calculate the prime factors of 5219 and 5239.

Prime Factorization of 5219

Prime Factorization of 5239

Now multiplying the highest exponent prime factors to calculate the LCM of 5219 and 5239.

LCM(5219,5239) = 17¹ × 307¹ × 13² × 31¹
LCM(5219,5239) = 27342341