What is the Least Common Multiple of 22450 and 22464?

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 22450 and 22464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22450 and 22464, than apply into the LCM equation.

GCF(22450,22464) = 2
LCM(22450,22464) = ( 22450 × 22464) / 2
LCM(22450,22464) = 504316800 / 2
LCM(22450,22464) = 252158400

Least Common Multiple (LCM) of 22450 and 22464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22450 and 22464. First we will calculate the prime factors of 22450 and 22464.

Prime Factorization of 22450

Prime Factorization of 22464

Now multiplying the highest exponent prime factors to calculate the LCM of 22450 and 22464.

LCM(22450,22464) = 2⁶ × 5² × 449¹ × 3³ × 13¹
LCM(22450,22464) = 252158400