What is the Least Common Multiple of 22464 and 22473?

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 22464 and 22473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22464 and 22473, than apply into the LCM equation.

GCF(22464,22473) = 9
LCM(22464,22473) = ( 22464 × 22473) / 9
LCM(22464,22473) = 504833472 / 9
LCM(22464,22473) = 56092608

Least Common Multiple (LCM) of 22464 and 22473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22464 and 22473. First we will calculate the prime factors of 22464 and 22473.

Prime Factorization of 22464

Prime Factorization of 22473

Now multiplying the highest exponent prime factors to calculate the LCM of 22464 and 22473.

LCM(22464,22473) = 2⁶ × 3³ × 13¹ × 11¹ × 227¹
LCM(22464,22473) = 56092608