GCF and LCM Calculator Logo

What is the Least Common Multiple of 1702 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 1702 and 1710 is 1455210.

LCM(1702,1710) = 1455210

LCM Calculator and
and

Least Common Multiple of 1702 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 1702 and 1710, than apply into the LCM equation.

GCF(1702,1710) = 2
LCM(1702,1710) = ( 1702 × 1710) / 2
LCM(1702,1710) = 2910420 / 2
LCM(1702,1710) = 1455210

Least Common Multiple (LCM) of 1702 and 1710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1702 and 1710. First we will calculate the prime factors of 1702 and 1710.

Prime Factorization of 1702

Prime factors of 1702 are 2, 23, 37. Prime factorization of 1702 in exponential form is:

1702 = 21 × 231 × 371

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 1702 and 1710.

LCM(1702,1710) = 21 × 231 × 371 × 32 × 51 × 191
LCM(1702,1710) = 1455210