What is the Least Common Multiple of 16705 and 16716?

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 16705 and 16716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16705 and 16716, than apply into the LCM equation.

GCF(16705,16716) = 1
LCM(16705,16716) = ( 16705 × 16716) / 1
LCM(16705,16716) = 279240780 / 1
LCM(16705,16716) = 279240780

Least Common Multiple (LCM) of 16705 and 16716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16705 and 16716. First we will calculate the prime factors of 16705 and 16716.

Prime Factorization of 16705

Prime Factorization of 16716

Now multiplying the highest exponent prime factors to calculate the LCM of 16705 and 16716.

LCM(16705,16716) = 5¹ × 13¹ × 257¹ × 2² × 3¹ × 7¹ × 199¹
LCM(16705,16716) = 279240780