What is the Least Common Multiple of 1714 and 1729?

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 1714 and 1729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1714 and 1729, than apply into the LCM equation.

GCF(1714,1729) = 1
LCM(1714,1729) = ( 1714 × 1729) / 1
LCM(1714,1729) = 2963506 / 1
LCM(1714,1729) = 2963506

Least Common Multiple (LCM) of 1714 and 1729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1714 and 1729. First we will calculate the prime factors of 1714 and 1729.

Prime Factorization of 1714

Prime Factorization of 1729

Now multiplying the highest exponent prime factors to calculate the LCM of 1714 and 1729.

LCM(1714,1729) = 2¹ × 857¹ × 7¹ × 13¹ × 19¹
LCM(1714,1729) = 2963506