What is the Least Common Multiple of 1743 and 1757?

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 1743 and 1757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1743 and 1757, than apply into the LCM equation.

GCF(1743,1757) = 7
LCM(1743,1757) = ( 1743 × 1757) / 7
LCM(1743,1757) = 3062451 / 7
LCM(1743,1757) = 437493

Least Common Multiple (LCM) of 1743 and 1757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1743 and 1757. First we will calculate the prime factors of 1743 and 1757.

Prime Factorization of 1743

Prime Factorization of 1757

Now multiplying the highest exponent prime factors to calculate the LCM of 1743 and 1757.

LCM(1743,1757) = 3¹ × 7¹ × 83¹ × 251¹
LCM(1743,1757) = 437493