What is the Least Common Multiple of 22175 and 22190?

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 22175 and 22190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22175 and 22190, than apply into the LCM equation.

GCF(22175,22190) = 5
LCM(22175,22190) = ( 22175 × 22190) / 5
LCM(22175,22190) = 492063250 / 5
LCM(22175,22190) = 98412650

Least Common Multiple (LCM) of 22175 and 22190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22175 and 22190. First we will calculate the prime factors of 22175 and 22190.

Prime Factorization of 22175

Prime Factorization of 22190

Now multiplying the highest exponent prime factors to calculate the LCM of 22175 and 22190.

LCM(22175,22190) = 5² × 887¹ × 2¹ × 7¹ × 317¹
LCM(22175,22190) = 98412650