What is the Least Common Multiple of 64344 and 64353?

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 64344 and 64353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64344 and 64353, than apply into the LCM equation.

GCF(64344,64353) = 3
LCM(64344,64353) = ( 64344 × 64353) / 3
LCM(64344,64353) = 4140729432 / 3
LCM(64344,64353) = 1380243144

Least Common Multiple (LCM) of 64344 and 64353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64344 and 64353. First we will calculate the prime factors of 64344 and 64353.

Prime Factorization of 64344

Prime Factorization of 64353

Now multiplying the highest exponent prime factors to calculate the LCM of 64344 and 64353.

LCM(64344,64353) = 2³ × 3¹ × 7¹ × 383¹ × 19¹ × 1129¹
LCM(64344,64353) = 1380243144