What is the Least Common Multiple of 16716 and 16729?

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 16716 and 16729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16716 and 16729, than apply into the LCM equation.

GCF(16716,16729) = 1
LCM(16716,16729) = ( 16716 × 16729) / 1
LCM(16716,16729) = 279641964 / 1
LCM(16716,16729) = 279641964

Least Common Multiple (LCM) of 16716 and 16729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16716 and 16729. First we will calculate the prime factors of 16716 and 16729.

Prime Factorization of 16716

Prime Factorization of 16729

Now multiplying the highest exponent prime factors to calculate the LCM of 16716 and 16729.

LCM(16716,16729) = 2² × 3¹ × 7¹ × 199¹ × 16729¹
LCM(16716,16729) = 279641964