What is the Least Common Multiple of 1755 and 1775?

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 1755 and 1775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1755 and 1775, than apply into the LCM equation.

GCF(1755,1775) = 5
LCM(1755,1775) = ( 1755 × 1775) / 5
LCM(1755,1775) = 3115125 / 5
LCM(1755,1775) = 623025

Least Common Multiple (LCM) of 1755 and 1775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1755 and 1775. First we will calculate the prime factors of 1755 and 1775.

Prime Factorization of 1755

Prime Factorization of 1775

Now multiplying the highest exponent prime factors to calculate the LCM of 1755 and 1775.

LCM(1755,1775) = 3³ × 5² × 13¹ × 71¹
LCM(1755,1775) = 623025