What is the Least Common Multiple of 22184 and 22204?

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 22184 and 22204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22184 and 22204, than apply into the LCM equation.

GCF(22184,22204) = 4
LCM(22184,22204) = ( 22184 × 22204) / 4
LCM(22184,22204) = 492573536 / 4
LCM(22184,22204) = 123143384

Least Common Multiple (LCM) of 22184 and 22204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22184 and 22204. First we will calculate the prime factors of 22184 and 22204.

Prime Factorization of 22184

Prime Factorization of 22204

Now multiplying the highest exponent prime factors to calculate the LCM of 22184 and 22204.

LCM(22184,22204) = 2³ × 47¹ × 59¹ × 7¹ × 13¹ × 61¹
LCM(22184,22204) = 123143384