What is the Least Common Multiple of 68349 and 68355?

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 68349 and 68355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68349 and 68355, than apply into the LCM equation.

GCF(68349,68355) = 3
LCM(68349,68355) = ( 68349 × 68355) / 3
LCM(68349,68355) = 4671995895 / 3
LCM(68349,68355) = 1557331965

Least Common Multiple (LCM) of 68349 and 68355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68349 and 68355. First we will calculate the prime factors of 68349 and 68355.

Prime Factorization of 68349

Prime Factorization of 68355

Now multiplying the highest exponent prime factors to calculate the LCM of 68349 and 68355.

LCM(68349,68355) = 3² × 22783¹ × 5¹ × 7² × 31¹
LCM(68349,68355) = 1557331965