What is the Least Common Multiple of 1729 and 1747?

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 1729 and 1747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1729 and 1747, than apply into the LCM equation.

GCF(1729,1747) = 1
LCM(1729,1747) = ( 1729 × 1747) / 1
LCM(1729,1747) = 3020563 / 1
LCM(1729,1747) = 3020563

Least Common Multiple (LCM) of 1729 and 1747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1729 and 1747. First we will calculate the prime factors of 1729 and 1747.

Prime Factorization of 1729

Prime Factorization of 1747

Now multiplying the highest exponent prime factors to calculate the LCM of 1729 and 1747.

LCM(1729,1747) = 7¹ × 13¹ × 19¹ × 1747¹
LCM(1729,1747) = 3020563