What is the Least Common Multiple of 22470 and 22479?

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 22479 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 22479, than apply into the LCM equation.

GCF(22470,22479) = 3
LCM(22470,22479) = ( 22470 × 22479) / 3
LCM(22470,22479) = 505103130 / 3
LCM(22470,22479) = 168367710

Least Common Multiple (LCM) of 22470 and 22479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22470 and 22479. First we will calculate the prime factors of 22470 and 22479.

Prime Factorization of 22470

Prime Factorization of 22479

Now multiplying the highest exponent prime factors to calculate the LCM of 22470 and 22479.

LCM(22470,22479) = 2¹ × 3¹ × 5¹ × 7¹ × 107¹ × 59¹ × 127¹
LCM(22470,22479) = 168367710