Least Common Multiple of 74 and 82
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 74 and 82 the smallest integer that is 3034 that is divisible by both numbers.
Least Common Multiple (LCM) of 74 and 82 is 3034.
LCM(74,82) = 3034
LCM of 74 and 82
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 74 and 82 by Prime method
- Least Common Multiple of 74 and 82 with GCF Formula
LCM of 74 and 82 is 3034
Least common multiple can be found by multiplying the highest exponent prime factors of 74 and 82. First we will calculate the prime factors of 74 and 82.
Prime Factorization of 74
| 2 | 74 |
| 37 | 37 |
| 1 |
Prime factors of 74 are 2,37. Prime factorization of 74 in exponential form is:
74 = 21×371
Prime Factorization of 82
| 2 | 82 |
| 41 | 41 |
| 1 |
Prime factors of 82 are 2,41. Prime factorization of 82 in exponential form is:
82 = 21×411
Now multiplying the highest exponent prime factors to calculate the LCM of 74 and 82.
LCM(74,82) = 21×371×411
LCM(74,82) = 3034
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Least Common Multiple of 74 and 82 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74 and 82, than apply into the LCM equation.
GCF(74,82) = 2
LCM(74,82) = ( 74 × 82) / 2
LCM(74,82) = 6068 / 2
LCM(74,82) = 3034
Properties of LCM 74 and 82
(i) The LCM of 82 and 74 is associative
LCM of 74 and 82 = LCM of 82 and 74
Related Least Common Multiples of 74
Related Least Common Multiples of 82
Frequently Asked Questions on LCM of 74 and 82
1. What is the LCM of 74 and 82?
Answer: LCM of 74 and 82 is 3034.
2. What are the Factors of 74?
Answer: Factors of 74 are 1, 2, 37, 74. There are 4 integers that are factors of 74. The greatest factor of 74 is 74.
3. What are the Factors of 82?
Answer: Factors of 82 are 1, 2, 41, 82. There are 4 integers that are factors of 82. The greatest factor of 82 is 82.
4. How to Find the LCM of 74 and 82?
Answer:
Least Common Multiple of 74 and 82 = 3034
Step 1: Find the prime factorization of 74
74 = 2 x 37
Step 2: Find the prime factorization of 82
82 = 2 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3034 = 2 x 37 x 41
Step 4: Therefore, the least common multiple of 74 and 82 is 3034.
