What is the Least Common Multiple of 1665 and 1677?

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 1665 and 1677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1665 and 1677, than apply into the LCM equation.

GCF(1665,1677) = 3
LCM(1665,1677) = ( 1665 × 1677) / 3
LCM(1665,1677) = 2792205 / 3
LCM(1665,1677) = 930735

Least Common Multiple (LCM) of 1665 and 1677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1665 and 1677. First we will calculate the prime factors of 1665 and 1677.

Prime Factorization of 1665

Prime Factorization of 1677

Now multiplying the highest exponent prime factors to calculate the LCM of 1665 and 1677.

LCM(1665,1677) = 3² × 5¹ × 37¹ × 13¹ × 43¹
LCM(1665,1677) = 930735