What is the Least Common Multiple of 16685 and 16704?

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 16685 and 16704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16685 and 16704, than apply into the LCM equation.

GCF(16685,16704) = 1
LCM(16685,16704) = ( 16685 × 16704) / 1
LCM(16685,16704) = 278706240 / 1
LCM(16685,16704) = 278706240

Least Common Multiple (LCM) of 16685 and 16704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16685 and 16704. First we will calculate the prime factors of 16685 and 16704.

Prime Factorization of 16685

Prime Factorization of 16704

Now multiplying the highest exponent prime factors to calculate the LCM of 16685 and 16704.

LCM(16685,16704) = 5¹ × 47¹ × 71¹ × 2⁶ × 3² × 29¹
LCM(16685,16704) = 278706240