What is the Least Common Multiple of 64344 and 64349?

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 64349 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 64349, than apply into the LCM equation.

GCF(64344,64349) = 1
LCM(64344,64349) = ( 64344 × 64349) / 1
LCM(64344,64349) = 4140472056 / 1
LCM(64344,64349) = 4140472056

Least Common Multiple (LCM) of 64344 and 64349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64344 and 64349. First we will calculate the prime factors of 64344 and 64349.

Prime Factorization of 64344

Prime Factorization of 64349

Now multiplying the highest exponent prime factors to calculate the LCM of 64344 and 64349.

LCM(64344,64349) = 2³ × 3¹ × 7¹ × 383¹ × 229¹ × 281¹
LCM(64344,64349) = 4140472056