What is the Least Common Multiple of 63309 and 63323?

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 63309 and 63323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63309 and 63323, than apply into the LCM equation.

GCF(63309,63323) = 1
LCM(63309,63323) = ( 63309 × 63323) / 1
LCM(63309,63323) = 4008915807 / 1
LCM(63309,63323) = 4008915807

Least Common Multiple (LCM) of 63309 and 63323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63309 and 63323. First we will calculate the prime factors of 63309 and 63323.

Prime Factorization of 63309

Prime Factorization of 63323

Now multiplying the highest exponent prime factors to calculate the LCM of 63309 and 63323.

LCM(63309,63323) = 3¹ × 47¹ × 449¹ × 13¹ × 4871¹
LCM(63309,63323) = 4008915807