What is the Least Common Multiple of 22470 and 22475?

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 22470 and 22475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22470 and 22475, than apply into the LCM equation.

GCF(22470,22475) = 5
LCM(22470,22475) = ( 22470 × 22475) / 5
LCM(22470,22475) = 505013250 / 5
LCM(22470,22475) = 101002650

Least Common Multiple (LCM) of 22470 and 22475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22470 and 22475. First we will calculate the prime factors of 22470 and 22475.

Prime Factorization of 22470

Prime Factorization of 22475

Now multiplying the highest exponent prime factors to calculate the LCM of 22470 and 22475.

LCM(22470,22475) = 2¹ × 3¹ × 5² × 7¹ × 107¹ × 29¹ × 31¹
LCM(22470,22475) = 101002650