What is the Least Common Multiple of 63447 and 63459?

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 63447 and 63459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63447 and 63459, than apply into the LCM equation.

GCF(63447,63459) = 3
LCM(63447,63459) = ( 63447 × 63459) / 3
LCM(63447,63459) = 4026283173 / 3
LCM(63447,63459) = 1342094391

Least Common Multiple (LCM) of 63447 and 63459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63447 and 63459. First we will calculate the prime factors of 63447 and 63459.

Prime Factorization of 63447

Prime Factorization of 63459

Now multiplying the highest exponent prime factors to calculate the LCM of 63447 and 63459.

LCM(63447,63459) = 3² × 21149¹ × 11¹ × 641¹
LCM(63447,63459) = 1342094391