What is the Least Common Multiple of 22454 and 22472?

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 22454 and 22472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22454 and 22472, than apply into the LCM equation.

GCF(22454,22472) = 2
LCM(22454,22472) = ( 22454 × 22472) / 2
LCM(22454,22472) = 504586288 / 2
LCM(22454,22472) = 252293144

Least Common Multiple (LCM) of 22454 and 22472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22454 and 22472. First we will calculate the prime factors of 22454 and 22472.

Prime Factorization of 22454

Prime Factorization of 22472

Now multiplying the highest exponent prime factors to calculate the LCM of 22454 and 22472.

LCM(22454,22472) = 2³ × 103¹ × 109¹ × 53²
LCM(22454,22472) = 252293144