What is the Least Common Multiple of 35312 and 35326?

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 35326 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 35326, than apply into the LCM equation.

GCF(35312,35326) = 2
LCM(35312,35326) = ( 35312 × 35326) / 2
LCM(35312,35326) = 1247431712 / 2
LCM(35312,35326) = 623715856

Least Common Multiple (LCM) of 35312 and 35326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35312 and 35326. First we will calculate the prime factors of 35312 and 35326.

Prime Factorization of 35312

Prime Factorization of 35326

Now multiplying the highest exponent prime factors to calculate the LCM of 35312 and 35326.

LCM(35312,35326) = 2⁴ × 2207¹ × 17¹ × 1039¹
LCM(35312,35326) = 623715856