What is the Least Common Multiple of 68345 and 68349?

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 68345 and 68349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68345 and 68349, than apply into the LCM equation.

GCF(68345,68349) = 1
LCM(68345,68349) = ( 68345 × 68349) / 1
LCM(68345,68349) = 4671312405 / 1
LCM(68345,68349) = 4671312405

Least Common Multiple (LCM) of 68345 and 68349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68345 and 68349. First we will calculate the prime factors of 68345 and 68349.

Prime Factorization of 68345

Prime Factorization of 68349

Now multiplying the highest exponent prime factors to calculate the LCM of 68345 and 68349.

LCM(68345,68349) = 5¹ × 13669¹ × 3¹ × 22783¹
LCM(68345,68349) = 4671312405