What is the Least Common Multiple of 22200 and 22218?

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 22200 and 22218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22200 and 22218, than apply into the LCM equation.

GCF(22200,22218) = 6
LCM(22200,22218) = ( 22200 × 22218) / 6
LCM(22200,22218) = 493239600 / 6
LCM(22200,22218) = 82206600

Least Common Multiple (LCM) of 22200 and 22218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22200 and 22218. First we will calculate the prime factors of 22200 and 22218.

Prime Factorization of 22200

Prime Factorization of 22218

Now multiplying the highest exponent prime factors to calculate the LCM of 22200 and 22218.

LCM(22200,22218) = 2³ × 3¹ × 5² × 37¹ × 7¹ × 23²
LCM(22200,22218) = 82206600