What is the Least Common Multiple of 22896 and 22900?

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 22896 and 22900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22896 and 22900, than apply into the LCM equation.

GCF(22896,22900) = 4
LCM(22896,22900) = ( 22896 × 22900) / 4
LCM(22896,22900) = 524318400 / 4
LCM(22896,22900) = 131079600

Least Common Multiple (LCM) of 22896 and 22900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22896 and 22900. First we will calculate the prime factors of 22896 and 22900.

Prime Factorization of 22896

Prime Factorization of 22900

Now multiplying the highest exponent prime factors to calculate the LCM of 22896 and 22900.

LCM(22896,22900) = 2⁴ × 3³ × 53¹ × 5² × 229¹
LCM(22896,22900) = 131079600