What is the Least Common Multiple of 8352 and 8356?

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 8352 and 8356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8352 and 8356, than apply into the LCM equation.

GCF(8352,8356) = 4
LCM(8352,8356) = ( 8352 × 8356) / 4
LCM(8352,8356) = 69789312 / 4
LCM(8352,8356) = 17447328

Least Common Multiple (LCM) of 8352 and 8356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8352 and 8356. First we will calculate the prime factors of 8352 and 8356.

Prime Factorization of 8352

Prime Factorization of 8356

Now multiplying the highest exponent prime factors to calculate the LCM of 8352 and 8356.

LCM(8352,8356) = 2⁵ × 3² × 29¹ × 2089¹
LCM(8352,8356) = 17447328