Least Common Multiple of 74 and 81
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 81 the smallest integer that is 5994 that is divisible by both numbers.
Least Common Multiple (LCM) of 74 and 81 is 5994.
LCM(74,81) = 5994
LCM of 74 and 81
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 74 and 81 by Prime method
- Least Common Multiple of 74 and 81 with GCF Formula
LCM of 74 and 81 is 5994
Least common multiple can be found by multiplying the highest exponent prime factors of 74 and 81. First we will calculate the prime factors of 74 and 81.
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 81
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 81 are 3. Prime factorization of 81 in exponential form is:
81 = 34
Now multiplying the highest exponent prime factors to calculate the LCM of 74 and 81.
LCM(74,81) = 21×34×371
LCM(74,81) = 5994
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Least Common Multiple of 74 and 81 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 81, than apply into the LCM equation.
GCF(74,81) = 1
LCM(74,81) = ( 74 × 81) / 1
LCM(74,81) = 5994 / 1
LCM(74,81) = 5994
Properties of LCM 74 and 81
(i) The LCM of 81 and 74 is associative
LCM of 74 and 81 = LCM of 81 and 74
Related Least Common Multiples of 74
Related Least Common Multiples of 81
Frequently Asked Questions on LCM of 74 and 81
1. What is the LCM of 74 and 81?
Answer: LCM of 74 and 81 is 5994.
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 81?
Answer: Factors of 81 are 1, 3, 9, 27, 81. There are 5 integers that are factors of 81. The greatest factor of 81 is 81.
4. How to Find the LCM of 74 and 81?
Answer:
Least Common Multiple of 74 and 81 = 5994
Step 1: Find the prime factorization of 74
74 = 2 x 37
Step 2: Find the prime factorization of 81
81 = 3 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5994 = 2 x 3 x 3 x 3 x 3 x 37
Step 4: Therefore, the least common multiple of 74 and 81 is 5994.
