What is the Least Common Multiple of 35328 and 35342?

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 35328 and 35342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35328 and 35342, than apply into the LCM equation.

GCF(35328,35342) = 2
LCM(35328,35342) = ( 35328 × 35342) / 2
LCM(35328,35342) = 1248562176 / 2
LCM(35328,35342) = 624281088

Least Common Multiple (LCM) of 35328 and 35342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35328 and 35342. First we will calculate the prime factors of 35328 and 35342.

Prime Factorization of 35328

Prime Factorization of 35342

Now multiplying the highest exponent prime factors to calculate the LCM of 35328 and 35342.

LCM(35328,35342) = 2⁹ × 3¹ × 23¹ × 41¹ × 431¹
LCM(35328,35342) = 624281088