What is the Least Common Multiple of 1724 and 1734?

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 1724 and 1734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1724 and 1734, than apply into the LCM equation.

GCF(1724,1734) = 2
LCM(1724,1734) = ( 1724 × 1734) / 2
LCM(1724,1734) = 2989416 / 2
LCM(1724,1734) = 1494708

Least Common Multiple (LCM) of 1724 and 1734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1724 and 1734. First we will calculate the prime factors of 1724 and 1734.

Prime Factorization of 1724

Prime Factorization of 1734

Now multiplying the highest exponent prime factors to calculate the LCM of 1724 and 1734.

LCM(1724,1734) = 2² × 431¹ × 3¹ × 17²
LCM(1724,1734) = 1494708