What is the Least Common Multiple of 74337 and 74353?

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 74337 and 74353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74337 and 74353, than apply into the LCM equation.

GCF(74337,74353) = 1
LCM(74337,74353) = ( 74337 × 74353) / 1
LCM(74337,74353) = 5527178961 / 1
LCM(74337,74353) = 5527178961

Least Common Multiple (LCM) of 74337 and 74353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74337 and 74353. First we will calculate the prime factors of 74337 and 74353.

Prime Factorization of 74337

Prime Factorization of 74353

Now multiplying the highest exponent prime factors to calculate the LCM of 74337 and 74353.

LCM(74337,74353) = 3¹ × 71¹ × 349¹ × 74353¹
LCM(74337,74353) = 5527178961