GCF and LCM Calculator Logo

What is the Least Common Multiple of 1679 and 1698?

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 1679 and 1698 is 2850942.

LCM(1679,1698) = 2850942

LCM Calculator and
and

Least Common Multiple of 1679 and 1698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1679 and 1698, than apply into the LCM equation.

GCF(1679,1698) = 1
LCM(1679,1698) = ( 1679 × 1698) / 1
LCM(1679,1698) = 2850942 / 1
LCM(1679,1698) = 2850942

Least Common Multiple (LCM) of 1679 and 1698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1679 and 1698. First we will calculate the prime factors of 1679 and 1698.

Prime Factorization of 1679

Prime factors of 1679 are 23, 73. Prime factorization of 1679 in exponential form is:

1679 = 231 × 731

Prime Factorization of 1698

Prime factors of 1698 are 2, 3, 283. Prime factorization of 1698 in exponential form is:

1698 = 21 × 31 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 1679 and 1698.

LCM(1679,1698) = 231 × 731 × 21 × 31 × 2831
LCM(1679,1698) = 2850942