Least Common Multiple of 69 and 77
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 69 and 77 the smallest integer that is 5313 that is divisible by both numbers.
Least Common Multiple (LCM) of 69 and 77 is 5313.
LCM(69,77) = 5313
LCM of 69 and 77
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 69 and 77 by Prime method
- Least Common Multiple of 69 and 77 with GCF Formula
LCM of 69 and 77 is 5313
Least common multiple can be found by multiplying the highest exponent prime factors of 69 and 77. First we will calculate the prime factors of 69 and 77.
Prime Factorization of 69
| 3 | 69 |
| 23 | 23 |
| 1 |
Prime factors of 69 are 3,23. Prime factorization of 69 in exponential form is:
69 = 31×231
Prime Factorization of 77
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 77 are 7,11. Prime factorization of 77 in exponential form is:
77 = 71×111
Now multiplying the highest exponent prime factors to calculate the LCM of 69 and 77.
LCM(69,77) = 31×71×111×231
LCM(69,77) = 5313
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Least Common Multiple of 69 and 77 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69 and 77, than apply into the LCM equation.
GCF(69,77) = 1
LCM(69,77) = ( 69 × 77) / 1
LCM(69,77) = 5313 / 1
LCM(69,77) = 5313
Properties of LCM 69 and 77
(i) The LCM of 77 and 69 is associative
LCM of 69 and 77 = LCM of 77 and 69
Related Least Common Multiples of 69
Related Least Common Multiples of 77
Frequently Asked Questions on LCM of 69 and 77
1. What is the LCM of 69 and 77?
Answer: LCM of 69 and 77 is 5313.
2. What are the Factors of 69?
Answer: Factors of 69 are 1, 3, 23, 69. There are 4 integers that are factors of 69. The greatest factor of 69 is 69.
3. What are the Factors of 77?
Answer: Factors of 77 are 1, 7, 11, 77. There are 4 integers that are factors of 77. The greatest factor of 77 is 77.
4. How to Find the LCM of 69 and 77?
Answer:
Least Common Multiple of 69 and 77 = 5313
Step 1: Find the prime factorization of 69
69 = 3 x 23
Step 2: Find the prime factorization of 77
77 = 7 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 = 5313 = 3 x 7 x 11 x 23
Step 4: Therefore, the least common multiple of 69 and 77 is 5313.
