What is the Least Common Multiple of 63459 and 63477?

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 63459 and 63477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63459 and 63477, than apply into the LCM equation.

GCF(63459,63477) = 9
LCM(63459,63477) = ( 63459 × 63477) / 9
LCM(63459,63477) = 4028186943 / 9
LCM(63459,63477) = 447576327

Least Common Multiple (LCM) of 63459 and 63477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63459 and 63477. First we will calculate the prime factors of 63459 and 63477.

Prime Factorization of 63459

Prime Factorization of 63477

Now multiplying the highest exponent prime factors to calculate the LCM of 63459 and 63477.

LCM(63459,63477) = 3³ × 11¹ × 641¹ × 2351¹
LCM(63459,63477) = 447576327