What is the Least Common Multiple of 22050 and 22058?

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 22058 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 22058, than apply into the LCM equation.

GCF(22050,22058) = 2
LCM(22050,22058) = ( 22050 × 22058) / 2
LCM(22050,22058) = 486378900 / 2
LCM(22050,22058) = 243189450

Least Common Multiple (LCM) of 22050 and 22058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22050 and 22058. First we will calculate the prime factors of 22050 and 22058.

Prime Factorization of 22050

Prime Factorization of 22058

Now multiplying the highest exponent prime factors to calculate the LCM of 22050 and 22058.

LCM(22050,22058) = 2¹ × 3² × 5² × 7² × 41¹ × 269¹
LCM(22050,22058) = 243189450