What is the Least Common Multiple of 74315 and 74335?

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 74315 and 74335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74315 and 74335, than apply into the LCM equation.

GCF(74315,74335) = 5
LCM(74315,74335) = ( 74315 × 74335) / 5
LCM(74315,74335) = 5524205525 / 5
LCM(74315,74335) = 1104841105

Least Common Multiple (LCM) of 74315 and 74335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74315 and 74335. First we will calculate the prime factors of 74315 and 74335.

Prime Factorization of 74315

Prime Factorization of 74335

Now multiplying the highest exponent prime factors to calculate the LCM of 74315 and 74335.

LCM(74315,74335) = 5¹ × 89¹ × 167¹ × 14867¹
LCM(74315,74335) = 1104841105