What is the Least Common Multiple of 22194 and 22200?

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 22194 and 22200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22194 and 22200, than apply into the LCM equation.

GCF(22194,22200) = 6
LCM(22194,22200) = ( 22194 × 22200) / 6
LCM(22194,22200) = 492706800 / 6
LCM(22194,22200) = 82117800

Least Common Multiple (LCM) of 22194 and 22200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22194 and 22200. First we will calculate the prime factors of 22194 and 22200.

Prime Factorization of 22194

Prime Factorization of 22200

Now multiplying the highest exponent prime factors to calculate the LCM of 22194 and 22200.

LCM(22194,22200) = 2³ × 3⁴ × 137¹ × 5² × 37¹
LCM(22194,22200) = 82117800