What is the Least Common Multiple of 16656 and 16674?

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 16656 and 16674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16656 and 16674, than apply into the LCM equation.

GCF(16656,16674) = 6
LCM(16656,16674) = ( 16656 × 16674) / 6
LCM(16656,16674) = 277722144 / 6
LCM(16656,16674) = 46287024

Least Common Multiple (LCM) of 16656 and 16674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16656 and 16674. First we will calculate the prime factors of 16656 and 16674.

Prime Factorization of 16656

Prime Factorization of 16674

Now multiplying the highest exponent prime factors to calculate the LCM of 16656 and 16674.

LCM(16656,16674) = 2⁴ × 3¹ × 347¹ × 7¹ × 397¹
LCM(16656,16674) = 46287024