What is the Least Common Multiple of 22900 and 22912?

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 22900 and 22912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22900 and 22912, than apply into the LCM equation.

GCF(22900,22912) = 4
LCM(22900,22912) = ( 22900 × 22912) / 4
LCM(22900,22912) = 524684800 / 4
LCM(22900,22912) = 131171200

Least Common Multiple (LCM) of 22900 and 22912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22900 and 22912. First we will calculate the prime factors of 22900 and 22912.

Prime Factorization of 22900

Prime Factorization of 22912

Now multiplying the highest exponent prime factors to calculate the LCM of 22900 and 22912.

LCM(22900,22912) = 2⁷ × 5² × 229¹ × 179¹
LCM(22900,22912) = 131171200