Least Common Multiple of 78 and 83
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 78 and 83 the smallest integer that is 6474 that is divisible by both numbers.
Least Common Multiple (LCM) of 78 and 83 is 6474.
LCM(78,83) = 6474
LCM of 78 and 83
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 78 and 83 by Prime method
- Least Common Multiple of 78 and 83 with GCF Formula
LCM of 78 and 83 is 6474
Least common multiple can be found by multiplying the highest exponent prime factors of 78 and 83. First we will calculate the prime factors of 78 and 83.
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
Prime Factorization of 83
| 83 | 83 |
| 1 |
Prime factors of 83 are 83. Prime factorization of 83 in exponential form is:
83 = 831
Now multiplying the highest exponent prime factors to calculate the LCM of 78 and 83.
LCM(78,83) = 21×31×131×831
LCM(78,83) = 6474
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1, 83
Least Common Multiple of 78 and 83 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78 and 83, than apply into the LCM equation.
GCF(78,83) = 1
LCM(78,83) = ( 78 × 83) / 1
LCM(78,83) = 6474 / 1
LCM(78,83) = 6474
Properties of LCM 78 and 83
(i) The LCM of 83 and 78 is associative
LCM of 78 and 83 = LCM of 83 and 78
Related Least Common Multiples of 78
Related Least Common Multiples of 83
Frequently Asked Questions on LCM of 78 and 83
1. What is the LCM of 78 and 83?
Answer: LCM of 78 and 83 is 6474.
2. 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.
3. What are the Factors of 83?
Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.
4. How to Find the LCM of 78 and 83?
Answer:
Least Common Multiple of 78 and 83 = 6474
Step 1: Find the prime factorization of 78
78 = 2 x 3 x 13
Step 2: Find the prime factorization of 83
83 = 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6474 = 2 x 3 x 13 x 83
Step 4: Therefore, the least common multiple of 78 and 83 is 6474.
