GCF and LCM Calculator Logo

What is the Least Common Multiple of 1671 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 (LCM) of 1671 and 1677 is 934089.

LCM(1671,1677) = 934089

LCM Calculator and
and

Least Common Multiple of 1671 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 1671 and 1677, than apply into the LCM equation.

GCF(1671,1677) = 3
LCM(1671,1677) = ( 1671 × 1677) / 3
LCM(1671,1677) = 2802267 / 3
LCM(1671,1677) = 934089

Least Common Multiple (LCM) of 1671 and 1677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1671 and 1677. First we will calculate the prime factors of 1671 and 1677.

Prime Factorization of 1671

Prime factors of 1671 are 3, 557. Prime factorization of 1671 in exponential form is:

1671 = 31 × 5571

Prime Factorization of 1677

Prime factors of 1677 are 3, 13, 43. Prime factorization of 1677 in exponential form is:

1677 = 31 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 1671 and 1677.

LCM(1671,1677) = 31 × 5571 × 131 × 431
LCM(1671,1677) = 934089