What is the Least Common Multiple of 35508 and 35512?

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 35508 and 35512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35508 and 35512, than apply into the LCM equation.

GCF(35508,35512) = 4
LCM(35508,35512) = ( 35508 × 35512) / 4
LCM(35508,35512) = 1260960096 / 4
LCM(35508,35512) = 315240024

Least Common Multiple (LCM) of 35508 and 35512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35508 and 35512. First we will calculate the prime factors of 35508 and 35512.

Prime Factorization of 35508

Prime Factorization of 35512

Now multiplying the highest exponent prime factors to calculate the LCM of 35508 and 35512.

LCM(35508,35512) = 2³ × 3¹ × 11¹ × 269¹ × 23¹ × 193¹
LCM(35508,35512) = 315240024