What is the Least Common Multiple of 74313 and 74332?

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 74313 and 74332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74313 and 74332, than apply into the LCM equation.

GCF(74313,74332) = 1
LCM(74313,74332) = ( 74313 × 74332) / 1
LCM(74313,74332) = 5523833916 / 1
LCM(74313,74332) = 5523833916

Least Common Multiple (LCM) of 74313 and 74332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74313 and 74332. First we will calculate the prime factors of 74313 and 74332.

Prime Factorization of 74313

Prime Factorization of 74332

Now multiplying the highest exponent prime factors to calculate the LCM of 74313 and 74332.

LCM(74313,74332) = 3² × 23¹ × 359¹ × 2² × 18583¹
LCM(74313,74332) = 5523833916