What is the Least Common Multiple of 22400 and 22417?

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 22400 and 22417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22400 and 22417, than apply into the LCM equation.

GCF(22400,22417) = 1
LCM(22400,22417) = ( 22400 × 22417) / 1
LCM(22400,22417) = 502140800 / 1
LCM(22400,22417) = 502140800

Least Common Multiple (LCM) of 22400 and 22417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22400 and 22417. First we will calculate the prime factors of 22400 and 22417.

Prime Factorization of 22400

Prime Factorization of 22417

Now multiplying the highest exponent prime factors to calculate the LCM of 22400 and 22417.

LCM(22400,22417) = 2⁷ × 5² × 7¹ × 29¹ × 773¹
LCM(22400,22417) = 502140800