What is the Least Common Multiple of 16704 and 16708?

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 16704 and 16708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16704 and 16708, than apply into the LCM equation.

GCF(16704,16708) = 4
LCM(16704,16708) = ( 16704 × 16708) / 4
LCM(16704,16708) = 279090432 / 4
LCM(16704,16708) = 69772608

Least Common Multiple (LCM) of 16704 and 16708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16704 and 16708. First we will calculate the prime factors of 16704 and 16708.

Prime Factorization of 16704

Prime Factorization of 16708

Now multiplying the highest exponent prime factors to calculate the LCM of 16704 and 16708.

LCM(16704,16708) = 2⁶ × 3² × 29¹ × 4177¹
LCM(16704,16708) = 69772608