What is the Least Common Multiple of 1710 and 1726?

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 1710 and 1726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1710 and 1726, than apply into the LCM equation.

GCF(1710,1726) = 2
LCM(1710,1726) = ( 1710 × 1726) / 2
LCM(1710,1726) = 2951460 / 2
LCM(1710,1726) = 1475730

Least Common Multiple (LCM) of 1710 and 1726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1710 and 1726. First we will calculate the prime factors of 1710 and 1726.

Prime Factorization of 1710

Prime Factorization of 1726

Now multiplying the highest exponent prime factors to calculate the LCM of 1710 and 1726.

LCM(1710,1726) = 2¹ × 3² × 5¹ × 19¹ × 863¹
LCM(1710,1726) = 1475730