Least Common Multiple of 1688 and 1694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1688 and 1694 the smallest integer that is 1429736 that is divisible by both numbers.

Least Common Multiple (LCM) of 1688 and 1694 is 1429736.

LCM(1688,1694) = 1429736

LCM of 1688 and 1694

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1688 and 1694

LCM of 1688 and 1694 is 1429736

Least common multiple can be found by multiplying the highest exponent prime factors of 1688 and 1694. First we will calculate the prime factors of 1688 and 1694.

Prime Factorization of 1688


2 1688
2 844
2 422
211 211
1

Prime factors of 1688 are 2,211. Prime factorization of 1688 in exponential form is:

1688 = 23×2111

Prime Factorization of 1694


2 1694
7 847
11 121
11 11
1

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

1694 = 21×71×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1688 and 1694.

LCM(1688,1694) = 23×71×112×2111
LCM(1688,1694) = 1429736

Factors of 1688

List of positive integer factors of 1688 that divides 1688 without a remainder.

1, 2, 4, 8, 211, 422, 844, 1688

Factors of 1694

List of positive integer factors of 1694 that divides 1694 without a remainder.

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694

Least Common Multiple of 1688 and 1694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1688 and 1694, than apply into the LCM equation.

GCF(1688,1694) = 2
LCM(1688,1694) = ( 1688 × 1694) / 2
LCM(1688,1694) = 2859472 / 2
LCM(1688,1694) = 1429736

Properties of LCM 1688 and 1694

(i) The LCM of 1694 and 1688 is associative

LCM of 1688 and 1694 = LCM of 1694 and 1688

Related Least Common Multiples of 1688

Related Least Common Multiples of 1694

Frequently Asked Questions on LCM of 1688 and 1694

1. What is the LCM of 1688 and 1694?

Answer: LCM of 1688 and 1694 is 1429736.

2. What are the Factors of 1688?

Answer: Factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688. There are 8 integers that are factors of 1688. The greatest factor of 1688 is 1688.

3. What are the Factors of 1694?

Answer: Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. There are 12 integers that are factors of 1694. The greatest factor of 1694 is 1694.

4. How to Find the LCM of 1688 and 1694?

Answer:

Least Common Multiple of 1688 and 1694 = 1429736

Step 1: Find the prime factorization of 1688

1688 = 2 x 2 x 2 x 211

Step 2: Find the prime factorization of 1694

1694 = 2 x 7 x 11 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1429736 = 2 x 2 x 2 x 7 x 11 x 11 x 211

Step 4: Therefore, the least common multiple of 1688 and 1694 is 1429736.