GCF and LCM Calculator Logo

What is the Least Common Multiple of 1694 and 1710?

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 1694 and 1710 is 1448370.

LCM(1694,1710) = 1448370

LCM Calculator and
and

Least Common Multiple of 1694 and 1710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1694 and 1710, than apply into the LCM equation.

GCF(1694,1710) = 2
LCM(1694,1710) = ( 1694 × 1710) / 2
LCM(1694,1710) = 2896740 / 2
LCM(1694,1710) = 1448370

Least Common Multiple (LCM) of 1694 and 1710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1694 and 1710. First we will calculate the prime factors of 1694 and 1710.

Prime Factorization of 1694

Prime factors of 1694 are 2, 7, 11. Prime factorization of 1694 in exponential form is:

1694 = 21 × 71 × 112

Prime Factorization of 1710

Prime factors of 1710 are 2, 3, 5, 19. Prime factorization of 1710 in exponential form is:

1710 = 21 × 32 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1694 and 1710.

LCM(1694,1710) = 21 × 71 × 112 × 32 × 51 × 191
LCM(1694,1710) = 1448370