Least Common Multiple of 55 and 58
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 55 and 58 the smallest integer that is 3190 that is divisible by both numbers.
Least Common Multiple (LCM) of 55 and 58 is 3190.
LCM(55,58) = 3190
LCM of 55 and 58
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 55 and 58 by Prime method
- Least Common Multiple of 55 and 58 with GCF Formula
LCM of 55 and 58 is 3190
Least common multiple can be found by multiplying the highest exponent prime factors of 55 and 58. First we will calculate the prime factors of 55 and 58.
Prime Factorization of 55
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 55 are 5,11. Prime factorization of 55 in exponential form is:
55 = 51×111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 55 and 58.
LCM(55,58) = 21×51×111×291
LCM(55,58) = 3190
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Least Common Multiple of 55 and 58 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55 and 58, than apply into the LCM equation.
GCF(55,58) = 1
LCM(55,58) = ( 55 × 58) / 1
LCM(55,58) = 3190 / 1
LCM(55,58) = 3190
Properties of LCM 55 and 58
(i) The LCM of 58 and 55 is associative
LCM of 55 and 58 = LCM of 58 and 55
Related Least Common Multiples of 55
Related Least Common Multiples of 58
Frequently Asked Questions on LCM of 55 and 58
1. What is the LCM of 55 and 58?
Answer: LCM of 55 and 58 is 3190.
2. What are the Factors of 55?
Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.
3. 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.
4. How to Find the LCM of 55 and 58?
Answer:
Least Common Multiple of 55 and 58 = 3190
Step 1: Find the prime factorization of 55
55 = 5 x 11
Step 2: Find the prime factorization of 58
58 = 2 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3190 = 2 x 5 x 11 x 29
Step 4: Therefore, the least common multiple of 55 and 58 is 3190.
