GCF and LCM Calculator Logo

What is the Least Common Multiple of 1685 and 1700?

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 1685 and 1700 is 572900.

LCM(1685,1700) = 572900

LCM Calculator and
and

Least Common Multiple of 1685 and 1700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1685 and 1700, than apply into the LCM equation.

GCF(1685,1700) = 5
LCM(1685,1700) = ( 1685 × 1700) / 5
LCM(1685,1700) = 2864500 / 5
LCM(1685,1700) = 572900

Least Common Multiple (LCM) of 1685 and 1700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1685 and 1700. First we will calculate the prime factors of 1685 and 1700.

Prime Factorization of 1685

Prime factors of 1685 are 5, 337. Prime factorization of 1685 in exponential form is:

1685 = 51 × 3371

Prime Factorization of 1700

Prime factors of 1700 are 2, 5, 17. Prime factorization of 1700 in exponential form is:

1700 = 22 × 52 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 1685 and 1700.

LCM(1685,1700) = 52 × 3371 × 22 × 171
LCM(1685,1700) = 572900