Least Common Multiple of 71 and 78
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 78 the smallest integer that is 5538 that is divisible by both numbers.
Least Common Multiple (LCM) of 71 and 78 is 5538.
LCM(71,78) = 5538
LCM of 71 and 78
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 71 and 78 by Prime method
- Least Common Multiple of 71 and 78 with GCF Formula
LCM of 71 and 78 is 5538
Least common multiple can be found by multiplying the highest exponent prime factors of 71 and 78. First we will calculate the prime factors of 71 and 78.
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 78
| 2 | 78 |
| 3 | 39 |
| 13 | 13 |
| 1 |
Prime factors of 78 are 2, 3,13. Prime factorization of 78 in exponential form is:
78 = 21×31×131
Now multiplying the highest exponent prime factors to calculate the LCM of 71 and 78.
LCM(71,78) = 21×31×131×711
LCM(71,78) = 5538
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1, 71
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Least Common Multiple of 71 and 78 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 78, than apply into the LCM equation.
GCF(71,78) = 1
LCM(71,78) = ( 71 × 78) / 1
LCM(71,78) = 5538 / 1
LCM(71,78) = 5538
Properties of LCM 71 and 78
(i) The LCM of 78 and 71 is associative
LCM of 71 and 78 = LCM of 78 and 71
Related Least Common Multiples of 71
Related Least Common Multiples of 78
Frequently Asked Questions on LCM of 71 and 78
1. What is the LCM of 71 and 78?
Answer: LCM of 71 and 78 is 5538.
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 78?
Answer: Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. There are 8 integers that are factors of 78. The greatest factor of 78 is 78.
4. How to Find the LCM of 71 and 78?
Answer:
Least Common Multiple of 71 and 78 = 5538
Step 1: Find the prime factorization of 71
71 = 71
Step 2: Find the prime factorization of 78
78 = 2 x 3 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5538 = 2 x 3 x 13 x 71
Step 4: Therefore, the least common multiple of 71 and 78 is 5538.
