What is the Least Common Multiple of 35312 and 35328?

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 35312 and 35328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35312 and 35328, than apply into the LCM equation.

GCF(35312,35328) = 16
LCM(35312,35328) = ( 35312 × 35328) / 16
LCM(35312,35328) = 1247502336 / 16
LCM(35312,35328) = 77968896

Least Common Multiple (LCM) of 35312 and 35328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35312 and 35328. First we will calculate the prime factors of 35312 and 35328.

Prime Factorization of 35312

Prime Factorization of 35328

Now multiplying the highest exponent prime factors to calculate the LCM of 35312 and 35328.

LCM(35312,35328) = 2⁹ × 2207¹ × 3¹ × 23¹
LCM(35312,35328) = 77968896