Least Common Multiple of 71 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 71 and 76 the smallest integer that is 5396 that is divisible by both numbers.
Least Common Multiple (LCM) of 71 and 76 is 5396.
LCM(71,76) = 5396
LCM of 71 and 76
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 71 and 76 by Prime method
- Least Common Multiple of 71 and 76 with GCF Formula
LCM of 71 and 76 is 5396
Least common multiple can be found by multiplying the highest exponent prime factors of 71 and 76. First we will calculate the prime factors of 71 and 76.
Prime Factorization of 71
| 71 | 71 |
| 1 |
Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:
71 = 711
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 71 and 76.
LCM(71,76) = 22×191×711
LCM(71,76) = 5396
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1, 71
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 71 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 71 and 76, than apply into the LCM equation.
GCF(71,76) = 1
LCM(71,76) = ( 71 × 76) / 1
LCM(71,76) = 5396 / 1
LCM(71,76) = 5396
Properties of LCM 71 and 76
(i) The LCM of 76 and 71 is associative
LCM of 71 and 76 = LCM of 76 and 71
Related Least Common Multiples of 71
Related Least Common Multiples of 76
Frequently Asked Questions on LCM of 71 and 76
1. What is the LCM of 71 and 76?
Answer: LCM of 71 and 76 is 5396.
2. What are the Factors of 71?
Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.
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 71 and 76?
Answer:
Least Common Multiple of 71 and 76 = 5396
Step 1: Find the prime factorization of 71
71 = 71
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 = 5396 = 2 x 2 x 19 x 71
Step 4: Therefore, the least common multiple of 71 and 76 is 5396.