What is the Least Common Multiple of 16646 and 16653?

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 16653 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 16653, than apply into the LCM equation.

GCF(16646,16653) = 7
LCM(16646,16653) = ( 16646 × 16653) / 7
LCM(16646,16653) = 277205838 / 7
LCM(16646,16653) = 39600834

Least Common Multiple (LCM) of 16646 and 16653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16646 and 16653. First we will calculate the prime factors of 16646 and 16653.

Prime Factorization of 16646

Prime Factorization of 16653

Now multiplying the highest exponent prime factors to calculate the LCM of 16646 and 16653.

LCM(16646,16653) = 2¹ × 7¹ × 29¹ × 41¹ × 3¹ × 13¹ × 61¹
LCM(16646,16653) = 39600834