What is the Least Common Multiple of 22050 and 22059?

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 22050 and 22059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22050 and 22059, than apply into the LCM equation.

GCF(22050,22059) = 9
LCM(22050,22059) = ( 22050 × 22059) / 9
LCM(22050,22059) = 486400950 / 9
LCM(22050,22059) = 54044550

Least Common Multiple (LCM) of 22050 and 22059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22050 and 22059. First we will calculate the prime factors of 22050 and 22059.

Prime Factorization of 22050

Prime Factorization of 22059

Now multiplying the highest exponent prime factors to calculate the LCM of 22050 and 22059.

LCM(22050,22059) = 2¹ × 3³ × 5² × 7² × 19¹ × 43¹
LCM(22050,22059) = 54044550