Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1691 and 1694 the smallest integer that is 2864554 that is divisible by both numbers.
Least Common Multiple (LCM) of 1691 and 1694 is 2864554.
LCM(1691,1694) = 2864554
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1691 and 1694. First we will calculate the prime factors of 1691 and 1694.
Prime Factorization of 1691
19 | 1691 |
89 | 89 |
1 |
Prime factors of 1691 are 19,89. Prime factorization of 1691 in exponential form is:
1691 = 191×891
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 1691 and 1694.
LCM(1691,1694) = 21×71×112×191×891
LCM(1691,1694) = 2864554
Factors of 1691
List of positive integer factors of 1691 that divides 1691 without a remainder.
1, 19, 89, 1691
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1691 and 1694, than apply into the LCM equation.
GCF(1691,1694) = 1
LCM(1691,1694) = ( 1691 × 1694) / 1
LCM(1691,1694) = 2864554 / 1
LCM(1691,1694) = 2864554
(i) The LCM of 1694 and 1691 is associative
LCM of 1691 and 1694 = LCM of 1694 and 1691
1. What is the LCM of 1691 and 1694?
Answer: LCM of 1691 and 1694 is 2864554.
2. What are the Factors of 1691?
Answer: Factors of 1691 are 1, 19, 89, 1691. There are 4 integers that are factors of 1691. The greatest factor of 1691 is 1691.
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 1691 and 1694?
Answer:
Least Common Multiple of 1691 and 1694 = 2864554
Step 1: Find the prime factorization of 1691
1691 = 19 x 89
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 = 2864554 = 2 x 7 x 11 x 11 x 19 x 89
Step 4: Therefore, the least common multiple of 1691 and 1694 is 2864554.