What is the Least Common Multiple of 74335 and 74349?

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 74335 and 74349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74335 and 74349, than apply into the LCM equation.

GCF(74335,74349) = 1
LCM(74335,74349) = ( 74335 × 74349) / 1
LCM(74335,74349) = 5526732915 / 1
LCM(74335,74349) = 5526732915

Least Common Multiple (LCM) of 74335 and 74349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74335 and 74349. First we will calculate the prime factors of 74335 and 74349.

Prime Factorization of 74335

Prime Factorization of 74349

Now multiplying the highest exponent prime factors to calculate the LCM of 74335 and 74349.

LCM(74335,74349) = 5¹ × 14867¹ × 3² × 11¹ × 751¹
LCM(74335,74349) = 5526732915