LCM of 59 and 29 is 1711. We can get the least common multiple of 59 and 29 by considering common multiples. The multiples of 59 are (59, 118, 177, 236, ….) and the multiples of 29 are (29, 58, 87, 116, 145, 174, 203, ….) respectively. Using certain methods like division, prime factorisation and listing the multiples, you will be able to determine the LCM.
Also read: Least common multiple
What is LCM of 59 and 29?
The answer to this question is 1711. The LCM of 59 and 29 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 59 and 29, is the smallest positive integer 1711 which is divisible by both 59 and 29 with no remainder.
How to Find LCM of 59 and 29?
LCM of 59 and 29 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 59 and 29 Using Prime Factorisation Method
The prime factorisation of 59 and 29, respectively, is given by:
59 = 59¹
29 = 29¹
LCM (59, 29) = 1711
LCM of 59 and 29 Using Division Method
We’ll divide the numbers (59, 29) by their prime factors to get the LCM of 59 and 29 using the division method (preferably common). The LCM of 59 and 29 is calculated by multiplying these divisors.
|
29 |
59 |
29 |
|
59 |
59 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (59, 29) = 1711
LCM of 59 and 29 Using Listing the Multiples
To calculate the LCM of 59 and 29 by listing out the common multiples, list the multiples as shown below
Multiples of 59 = 59, 118, 177, 236, 295, 354, 413, 472, 531, 590, . . . ., 1534, 1593, 1652, 1711, . . . .
Multiples of 29 = 29, 58, 87, 116, 145, 174, 203, 232, 261, 290, . . . ., 1653, 1682, 1711, . . . .
LCM (59, 29) = 1711
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LCM of 59 and 29 Solved Examples
Question: If the product of two numbers is 1711, find the LCM if the GCD is 1.
Solution:
It is given that
GCD = 1
Product of two numbers = 1711
We know that
LCM x GCD = product of two numbers
LCM = product of two numbers/ GCD
LCM = 1711/1
LCM = 1711
Hence, the LCM is 1711.
Frequently Asked Questions on LCM of 59 and 29
What is the LCM of 59 and 29?
If the LCM of 59 and 29 is 1711, what is the GCF?
LCM x GCF = 59 x 29
Given;
LCM of 59 and 29 is 1711
1711 x GCF = 1711
GCF = 1711/1711 = 1
List the methods used to find the LCM of 59 and 29.
The methods used to find the LCM of 59 and 29 are:
Division method
Prime Factorisation
Listing the multiples
The LCM and GCD of two numbers are 1711 and 1. If one number is 59, find the other.
Consider x as the other number
GCD x LCM = 59 x x
x = (GCD x LCM)/59
x = (1 x 1711)/59
x = 29
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