What is the Least Common Multiple of 22428 and 22435?

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 22428 and 22435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22428 and 22435, than apply into the LCM equation.

GCF(22428,22435) = 7
LCM(22428,22435) = ( 22428 × 22435) / 7
LCM(22428,22435) = 503172180 / 7
LCM(22428,22435) = 71881740

Least Common Multiple (LCM) of 22428 and 22435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22428 and 22435. First we will calculate the prime factors of 22428 and 22435.

Prime Factorization of 22428

Prime Factorization of 22435

Now multiplying the highest exponent prime factors to calculate the LCM of 22428 and 22435.

LCM(22428,22435) = 2² × 3² × 7¹ × 89¹ × 5¹ × 641¹
LCM(22428,22435) = 71881740