What is the Least Common Multiple of 22209 and 22216?

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 22209 and 22216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22209 and 22216, than apply into the LCM equation.

GCF(22209,22216) = 1
LCM(22209,22216) = ( 22209 × 22216) / 1
LCM(22209,22216) = 493395144 / 1
LCM(22209,22216) = 493395144

Least Common Multiple (LCM) of 22209 and 22216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22209 and 22216. First we will calculate the prime factors of 22209 and 22216.

Prime Factorization of 22209

Prime Factorization of 22216

Now multiplying the highest exponent prime factors to calculate the LCM of 22209 and 22216.

LCM(22209,22216) = 3¹ × 11¹ × 673¹ × 2³ × 2777¹
LCM(22209,22216) = 493395144