GCF and LCM Calculator Logo

What is the Least Common Multiple of 1655 and 1659?

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 (LCM) of 1655 and 1659 is 2745645.

LCM(1655,1659) = 2745645

LCM Calculator and
and

Least Common Multiple of 1655 and 1659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1655 and 1659, than apply into the LCM equation.

GCF(1655,1659) = 1
LCM(1655,1659) = ( 1655 × 1659) / 1
LCM(1655,1659) = 2745645 / 1
LCM(1655,1659) = 2745645

Least Common Multiple (LCM) of 1655 and 1659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1655 and 1659. First we will calculate the prime factors of 1655 and 1659.

Prime Factorization of 1655

Prime factors of 1655 are 5, 331. Prime factorization of 1655 in exponential form is:

1655 = 51 × 3311

Prime Factorization of 1659

Prime factors of 1659 are 3, 7, 79. Prime factorization of 1659 in exponential form is:

1659 = 31 × 71 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 1655 and 1659.

LCM(1655,1659) = 51 × 3311 × 31 × 71 × 791
LCM(1655,1659) = 2745645