Least Common Multiple of 69 and 76
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 76 the smallest integer that is 5244 that is divisible by both numbers.
Least Common Multiple (LCM) of 69 and 76 is 5244.
LCM(69,76) = 5244
LCM of 69 and 76
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 69 and 76 by Prime method
- Least Common Multiple of 69 and 76 with GCF Formula
LCM of 69 and 76 is 5244
Least common multiple can be found by multiplying the highest exponent prime factors of 69 and 76. First we will calculate the prime factors of 69 and 76.
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 76
| 2 | 76 |
| 2 | 38 |
| 19 | 19 |
| 1 |
Prime factors of 76 are 2,19. Prime factorization of 76 in exponential form is:
76 = 22×191
Now multiplying the highest exponent prime factors to calculate the LCM of 69 and 76.
LCM(69,76) = 22×31×191×231
LCM(69,76) = 5244
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Least Common Multiple of 69 and 76 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 76, than apply into the LCM equation.
GCF(69,76) = 1
LCM(69,76) = ( 69 × 76) / 1
LCM(69,76) = 5244 / 1
LCM(69,76) = 5244
Properties of LCM 69 and 76
(i) The LCM of 76 and 69 is associative
LCM of 69 and 76 = LCM of 76 and 69
Related Least Common Multiples of 69
Related Least Common Multiples of 76
Frequently Asked Questions on LCM of 69 and 76
1. What is the LCM of 69 and 76?
Answer: LCM of 69 and 76 is 5244.
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 76?
Answer: Factors of 76 are 1, 2, 4, 19, 38, 76. There are 6 integers that are factors of 76. The greatest factor of 76 is 76.
4. How to Find the LCM of 69 and 76?
Answer:
Least Common Multiple of 69 and 76 = 5244
Step 1: Find the prime factorization of 69
69 = 3 x 23
Step 2: Find the prime factorization of 76
76 = 2 x 2 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5244 = 2 x 2 x 3 x 19 x 23
Step 4: Therefore, the least common multiple of 69 and 76 is 5244.
