Least Common Multiple of 58 and 65
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 58 and 65 the smallest integer that is 3770 that is divisible by both numbers.
Least Common Multiple (LCM) of 58 and 65 is 3770.
LCM(58,65) = 3770
LCM of 58 and 65
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 58 and 65 by Prime method
- Least Common Multiple of 58 and 65 with GCF Formula
LCM of 58 and 65 is 3770
Least common multiple can be found by multiplying the highest exponent prime factors of 58 and 65. First we will calculate the prime factors of 58 and 65.
Prime Factorization of 58
| 2 | 58 |
| 29 | 29 |
| 1 |
Prime factors of 58 are 2,29. Prime factorization of 58 in exponential form is:
58 = 21×291
Prime Factorization of 65
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 65 are 5,13. Prime factorization of 65 in exponential form is:
65 = 51×131
Now multiplying the highest exponent prime factors to calculate the LCM of 58 and 65.
LCM(58,65) = 21×51×131×291
LCM(58,65) = 3770
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Least Common Multiple of 58 and 65 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58 and 65, than apply into the LCM equation.
GCF(58,65) = 1
LCM(58,65) = ( 58 × 65) / 1
LCM(58,65) = 3770 / 1
LCM(58,65) = 3770
Properties of LCM 58 and 65
(i) The LCM of 65 and 58 is associative
LCM of 58 and 65 = LCM of 65 and 58
Related Least Common Multiples of 58
Related Least Common Multiples of 65
Frequently Asked Questions on LCM of 58 and 65
1. What is the LCM of 58 and 65?
Answer: LCM of 58 and 65 is 3770.
2. What are the Factors of 58?
Answer: Factors of 58 are 1, 2, 29, 58. There are 4 integers that are factors of 58. The greatest factor of 58 is 58.
3. What are the Factors of 65?
Answer: Factors of 65 are 1, 5, 13, 65. There are 4 integers that are factors of 65. The greatest factor of 65 is 65.
4. How to Find the LCM of 58 and 65?
Answer:
Least Common Multiple of 58 and 65 = 3770
Step 1: Find the prime factorization of 58
58 = 2 x 29
Step 2: Find the prime factorization of 65
65 = 5 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 = 3770 = 2 x 5 x 13 x 29
Step 4: Therefore, the least common multiple of 58 and 65 is 3770.
