What is the Least Common Multiple of 93345 and 93361?

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 93345 and 93361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93345 and 93361, than apply into the LCM equation.

GCF(93345,93361) = 1
LCM(93345,93361) = ( 93345 × 93361) / 1
LCM(93345,93361) = 8714782545 / 1
LCM(93345,93361) = 8714782545

Least Common Multiple (LCM) of 93345 and 93361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93345 and 93361. First we will calculate the prime factors of 93345 and 93361.

Prime Factorization of 93345

Prime Factorization of 93361

Now multiplying the highest exponent prime factors to calculate the LCM of 93345 and 93361.

LCM(93345,93361) = 3¹ × 5¹ × 7² × 127¹ × 89¹ × 1049¹
LCM(93345,93361) = 8714782545