What is the Least Common Multiple of 63216 and 63225?

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 63216 and 63225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63216 and 63225, than apply into the LCM equation.

GCF(63216,63225) = 9
LCM(63216,63225) = ( 63216 × 63225) / 9
LCM(63216,63225) = 3996831600 / 9
LCM(63216,63225) = 444092400

Least Common Multiple (LCM) of 63216 and 63225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63216 and 63225. First we will calculate the prime factors of 63216 and 63225.

Prime Factorization of 63216

Prime Factorization of 63225

Now multiplying the highest exponent prime factors to calculate the LCM of 63216 and 63225.

LCM(63216,63225) = 2⁴ × 3² × 439¹ × 5² × 281¹
LCM(63216,63225) = 444092400