What is the Least Common Multiple of 1700 and 1717?

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 1700 and 1717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1700 and 1717, than apply into the LCM equation.

GCF(1700,1717) = 17
LCM(1700,1717) = ( 1700 × 1717) / 17
LCM(1700,1717) = 2918900 / 17
LCM(1700,1717) = 171700

Least Common Multiple (LCM) of 1700 and 1717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1700 and 1717. First we will calculate the prime factors of 1700 and 1717.

Prime Factorization of 1700

Prime Factorization of 1717

Now multiplying the highest exponent prime factors to calculate the LCM of 1700 and 1717.

LCM(1700,1717) = 2² × 5² × 17¹ × 101¹
LCM(1700,1717) = 171700