What is the Least Common Multiple of 1691 and 1705?

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 1691 and 1705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1691 and 1705, than apply into the LCM equation.

GCF(1691,1705) = 1
LCM(1691,1705) = ( 1691 × 1705) / 1
LCM(1691,1705) = 2883155 / 1
LCM(1691,1705) = 2883155

Least Common Multiple (LCM) of 1691 and 1705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1691 and 1705. First we will calculate the prime factors of 1691 and 1705.

Prime Factorization of 1691

Prime Factorization of 1705

Now multiplying the highest exponent prime factors to calculate the LCM of 1691 and 1705.

LCM(1691,1705) = 19¹ × 89¹ × 5¹ × 11¹ × 31¹
LCM(1691,1705) = 2883155