What is the Least Common Multiple of 22050 and 22065?

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 22065 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 22065, than apply into the LCM equation.

GCF(22050,22065) = 15
LCM(22050,22065) = ( 22050 × 22065) / 15
LCM(22050,22065) = 486533250 / 15
LCM(22050,22065) = 32435550

Least Common Multiple (LCM) of 22050 and 22065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22050 and 22065. First we will calculate the prime factors of 22050 and 22065.

Prime Factorization of 22050

Prime Factorization of 22065

Now multiplying the highest exponent prime factors to calculate the LCM of 22050 and 22065.

LCM(22050,22065) = 2¹ × 3² × 5² × 7² × 1471¹
LCM(22050,22065) = 32435550