What is the Least Common Multiple of 22208 and 22225?

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 22208 and 22225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22208 and 22225, than apply into the LCM equation.

GCF(22208,22225) = 1
LCM(22208,22225) = ( 22208 × 22225) / 1
LCM(22208,22225) = 493572800 / 1
LCM(22208,22225) = 493572800

Least Common Multiple (LCM) of 22208 and 22225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22208 and 22225. First we will calculate the prime factors of 22208 and 22225.

Prime Factorization of 22208

Prime Factorization of 22225

Now multiplying the highest exponent prime factors to calculate the LCM of 22208 and 22225.

LCM(22208,22225) = 2⁶ × 347¹ × 5² × 7¹ × 127¹
LCM(22208,22225) = 493572800