What is the Least Common Multiple of 16996 and 17010?

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 16996 and 17010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16996 and 17010, than apply into the LCM equation.

GCF(16996,17010) = 14
LCM(16996,17010) = ( 16996 × 17010) / 14
LCM(16996,17010) = 289101960 / 14
LCM(16996,17010) = 20650140

Least Common Multiple (LCM) of 16996 and 17010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16996 and 17010. First we will calculate the prime factors of 16996 and 17010.

Prime Factorization of 16996

Prime Factorization of 17010

Now multiplying the highest exponent prime factors to calculate the LCM of 16996 and 17010.

LCM(16996,17010) = 2² × 7¹ × 607¹ × 3⁵ × 5¹
LCM(16996,17010) = 20650140