GCF and LCM Calculator Logo

What is the Least Common Multiple of 1671 and 1690?

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 1690 is 2823990.

LCM(1671,1690) = 2823990

LCM Calculator and
and

Least Common Multiple of 1671 and 1690 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 1690, than apply into the LCM equation.

GCF(1671,1690) = 1
LCM(1671,1690) = ( 1671 × 1690) / 1
LCM(1671,1690) = 2823990 / 1
LCM(1671,1690) = 2823990

Least Common Multiple (LCM) of 1671 and 1690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1671 and 1690. First we will calculate the prime factors of 1671 and 1690.

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 1690

Prime factors of 1690 are 2, 5, 13. Prime factorization of 1690 in exponential form is:

1690 = 21 × 51 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 1671 and 1690.

LCM(1671,1690) = 31 × 5571 × 21 × 51 × 132
LCM(1671,1690) = 2823990