What is the Least Common Multiple of 64321 and 64341?

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 64321 and 64341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64321 and 64341, than apply into the LCM equation.

GCF(64321,64341) = 1
LCM(64321,64341) = ( 64321 × 64341) / 1
LCM(64321,64341) = 4138477461 / 1
LCM(64321,64341) = 4138477461

Least Common Multiple (LCM) of 64321 and 64341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64321 and 64341. First we will calculate the prime factors of 64321 and 64341.

Prime Factorization of 64321

Prime Factorization of 64341

Now multiplying the highest exponent prime factors to calculate the LCM of 64321 and 64341.

LCM(64321,64341) = 131¹ × 491¹ × 3³ × 2383¹
LCM(64321,64341) = 4138477461