What is the Least Common Multiple of 16646 and 16654?

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 16646 and 16654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16646 and 16654, than apply into the LCM equation.

GCF(16646,16654) = 2
LCM(16646,16654) = ( 16646 × 16654) / 2
LCM(16646,16654) = 277222484 / 2
LCM(16646,16654) = 138611242

Least Common Multiple (LCM) of 16646 and 16654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16646 and 16654. First we will calculate the prime factors of 16646 and 16654.

Prime Factorization of 16646

Prime Factorization of 16654

Now multiplying the highest exponent prime factors to calculate the LCM of 16646 and 16654.

LCM(16646,16654) = 2¹ × 7¹ × 29¹ × 41¹ × 11¹ × 757¹
LCM(16646,16654) = 138611242