Least Common Multiple of 7769 and 7774
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7769 and 7774 the smallest integer that is 60396206 that is divisible by both numbers.
Least Common Multiple (LCM) of 7769 and 7774 is 60396206.
LCM(7769,7774) = 60396206
LCM of 7769 and 7774
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7769 and 7774 by Prime method
- Least Common Multiple of 7769 and 7774 with GCF Formula
LCM of 7769 and 7774 is 60396206
Least common multiple can be found by multiplying the highest exponent prime factors of 7769 and 7774. First we will calculate the prime factors of 7769 and 7774.
Prime Factorization of 7769
| 17 | 7769 |
| 457 | 457 |
| 1 |
Prime factors of 7769 are 17,457. Prime factorization of 7769 in exponential form is:
7769 = 171×4571
Prime Factorization of 7774
| 2 | 7774 |
| 13 | 3887 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 7774 are 2, 13,23. Prime factorization of 7774 in exponential form is:
7774 = 21×132×231
Now multiplying the highest exponent prime factors to calculate the LCM of 7769 and 7774.
LCM(7769,7774) = 21×132×171×231×4571
LCM(7769,7774) = 60396206
Factors of 7769
List of positive integer factors of 7769 that divides 7769 without a remainder.
1, 17, 457, 7769
Factors of 7774
List of positive integer factors of 7774 that divides 7774 without a remainder.
1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887, 7774
Least Common Multiple of 7769 and 7774 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7769 and 7774, than apply into the LCM equation.
GCF(7769,7774) = 1
LCM(7769,7774) = ( 7769 × 7774) / 1
LCM(7769,7774) = 60396206 / 1
LCM(7769,7774) = 60396206
Properties of LCM 7769 and 7774
(i) The LCM of 7774 and 7769 is associative
LCM of 7769 and 7774 = LCM of 7774 and 7769
Related Least Common Multiples of 7769
Related Least Common Multiples of 7774
Frequently Asked Questions on LCM of 7769 and 7774
1. What is the LCM of 7769 and 7774?
Answer: LCM of 7769 and 7774 is 60396206.
2. What are the Factors of 7769?
Answer: Factors of 7769 are 1, 17, 457, 7769. There are 4 integers that are factors of 7769. The greatest factor of 7769 is 7769.
3. What are the Factors of 7774?
Answer: Factors of 7774 are 1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887, 7774. There are 12 integers that are factors of 7774. The greatest factor of 7774 is 7774.
4. How to Find the LCM of 7769 and 7774?
Answer:
Least Common Multiple of 7769 and 7774 = 60396206
Step 1: Find the prime factorization of 7769
7769 = 17 x 457
Step 2: Find the prime factorization of 7774
7774 = 2 x 13 x 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60396206 = 2 x 13 x 13 x 17 x 23 x 457
Step 4: Therefore, the least common multiple of 7769 and 7774 is 60396206.