What is the Least Common Multiple of 64341 and 64347?

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 64341 and 64347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64341 and 64347, than apply into the LCM equation.

GCF(64341,64347) = 3
LCM(64341,64347) = ( 64341 × 64347) / 3
LCM(64341,64347) = 4140150327 / 3
LCM(64341,64347) = 1380050109

Least Common Multiple (LCM) of 64341 and 64347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64341 and 64347. First we will calculate the prime factors of 64341 and 64347.

Prime Factorization of 64341

Prime Factorization of 64347

Now multiplying the highest exponent prime factors to calculate the LCM of 64341 and 64347.

LCM(64341,64347) = 3³ × 2383¹ × 89¹ × 241¹
LCM(64341,64347) = 1380050109