What is the Least Common Multiple of 69335 and 69341?

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 69335 and 69341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69335 and 69341, than apply into the LCM equation.

GCF(69335,69341) = 1
LCM(69335,69341) = ( 69335 × 69341) / 1
LCM(69335,69341) = 4807758235 / 1
LCM(69335,69341) = 4807758235

Least Common Multiple (LCM) of 69335 and 69341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69335 and 69341. First we will calculate the prime factors of 69335 and 69341.

Prime Factorization of 69335

Prime Factorization of 69341

Now multiplying the highest exponent prime factors to calculate the LCM of 69335 and 69341.

LCM(69335,69341) = 5¹ × 7² × 283¹ × 69341¹
LCM(69335,69341) = 4807758235