What is the Least Common Multiple of 64443 and 64449?

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 64443 and 64449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64443 and 64449, than apply into the LCM equation.

GCF(64443,64449) = 3
LCM(64443,64449) = ( 64443 × 64449) / 3
LCM(64443,64449) = 4153286907 / 3
LCM(64443,64449) = 1384428969

Least Common Multiple (LCM) of 64443 and 64449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64443 and 64449. First we will calculate the prime factors of 64443 and 64449.

Prime Factorization of 64443

Prime Factorization of 64449

Now multiplying the highest exponent prime factors to calculate the LCM of 64443 and 64449.

LCM(64443,64449) = 3³ × 21481¹ × 7¹ × 11¹ × 31¹
LCM(64443,64449) = 1384428969