What is the Least Common Multiple of 35328 and 35340?

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 35340 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 35340, than apply into the LCM equation.

GCF(35328,35340) = 12
LCM(35328,35340) = ( 35328 × 35340) / 12
LCM(35328,35340) = 1248491520 / 12
LCM(35328,35340) = 104040960

Least Common Multiple (LCM) of 35328 and 35340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35328 and 35340. First we will calculate the prime factors of 35328 and 35340.

Prime Factorization of 35328

Prime Factorization of 35340

Now multiplying the highest exponent prime factors to calculate the LCM of 35328 and 35340.

LCM(35328,35340) = 2⁹ × 3¹ × 23¹ × 5¹ × 19¹ × 31¹
LCM(35328,35340) = 104040960