What is the Least Common Multiple of 22219 and 22223?

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 22219 and 22223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22219 and 22223, than apply into the LCM equation.

GCF(22219,22223) = 1
LCM(22219,22223) = ( 22219 × 22223) / 1
LCM(22219,22223) = 493772837 / 1
LCM(22219,22223) = 493772837

Least Common Multiple (LCM) of 22219 and 22223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22219 and 22223. First we will calculate the prime factors of 22219 and 22223.

Prime Factorization of 22219

Prime Factorization of 22223

Now multiplying the highest exponent prime factors to calculate the LCM of 22219 and 22223.

LCM(22219,22223) = 17¹ × 1307¹ × 71¹ × 313¹
LCM(22219,22223) = 493772837