What is the Least Common Multiple of 74331 and 74337?

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 74331 and 74337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74331 and 74337, than apply into the LCM equation.

GCF(74331,74337) = 3
LCM(74331,74337) = ( 74331 × 74337) / 3
LCM(74331,74337) = 5525543547 / 3
LCM(74331,74337) = 1841847849

Least Common Multiple (LCM) of 74331 and 74337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74331 and 74337. First we will calculate the prime factors of 74331 and 74337.

Prime Factorization of 74331

Prime Factorization of 74337

Now multiplying the highest exponent prime factors to calculate the LCM of 74331 and 74337.

LCM(74331,74337) = 3³ × 2753¹ × 71¹ × 349¹
LCM(74331,74337) = 1841847849