What is the Least Common Multiple of 74349 and 74358?

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 74349 and 74358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74349 and 74358, than apply into the LCM equation.

GCF(74349,74358) = 9
LCM(74349,74358) = ( 74349 × 74358) / 9
LCM(74349,74358) = 5528442942 / 9
LCM(74349,74358) = 614271438

Least Common Multiple (LCM) of 74349 and 74358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74349 and 74358. First we will calculate the prime factors of 74349 and 74358.

Prime Factorization of 74349

Prime Factorization of 74358

Now multiplying the highest exponent prime factors to calculate the LCM of 74349 and 74358.

LCM(74349,74358) = 3⁷ × 11¹ × 751¹ × 2¹ × 17¹
LCM(74349,74358) = 614271438