What is the Least Common Multiple of 63225 and 63241?

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 63225 and 63241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63225 and 63241, than apply into the LCM equation.

GCF(63225,63241) = 1
LCM(63225,63241) = ( 63225 × 63241) / 1
LCM(63225,63241) = 3998412225 / 1
LCM(63225,63241) = 3998412225

Least Common Multiple (LCM) of 63225 and 63241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63225 and 63241. First we will calculate the prime factors of 63225 and 63241.

Prime Factorization of 63225

Prime Factorization of 63241

Now multiplying the highest exponent prime factors to calculate the LCM of 63225 and 63241.

LCM(63225,63241) = 3² × 5² × 281¹ × 63241¹
LCM(63225,63241) = 3998412225