What is the Least Common Multiple of 8334 and 8352?

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 8334 and 8352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8334 and 8352, than apply into the LCM equation.

GCF(8334,8352) = 18
LCM(8334,8352) = ( 8334 × 8352) / 18
LCM(8334,8352) = 69605568 / 18
LCM(8334,8352) = 3866976

Least Common Multiple (LCM) of 8334 and 8352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8334 and 8352. First we will calculate the prime factors of 8334 and 8352.

Prime Factorization of 8334

Prime Factorization of 8352

Now multiplying the highest exponent prime factors to calculate the LCM of 8334 and 8352.

LCM(8334,8352) = 2⁵ × 3² × 463¹ × 29¹
LCM(8334,8352) = 3866976