What is the Least Common Multiple of 1660 and 1675?

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 1660 and 1675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1660 and 1675, than apply into the LCM equation.

GCF(1660,1675) = 5
LCM(1660,1675) = ( 1660 × 1675) / 5
LCM(1660,1675) = 2780500 / 5
LCM(1660,1675) = 556100

Least Common Multiple (LCM) of 1660 and 1675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1660 and 1675. First we will calculate the prime factors of 1660 and 1675.

Prime Factorization of 1660

Prime Factorization of 1675

Now multiplying the highest exponent prime factors to calculate the LCM of 1660 and 1675.

LCM(1660,1675) = 2² × 5² × 83¹ × 67¹
LCM(1660,1675) = 556100