What is the Least Common Multiple of 35312 and 35329?

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 35329 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 35329, than apply into the LCM equation.

GCF(35312,35329) = 1
LCM(35312,35329) = ( 35312 × 35329) / 1
LCM(35312,35329) = 1247537648 / 1
LCM(35312,35329) = 1247537648

Least Common Multiple (LCM) of 35312 and 35329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35312 and 35329. First we will calculate the prime factors of 35312 and 35329.

Prime Factorization of 35312

Prime Factorization of 35329

Now multiplying the highest exponent prime factors to calculate the LCM of 35312 and 35329.

LCM(35312,35329) = 2⁴ × 2207¹ × 7³ × 103¹
LCM(35312,35329) = 1247537648