Least Common Multiple of 10147 and 10154
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10147 and 10154 the smallest integer that is 103032638 that is divisible by both numbers.
Least Common Multiple (LCM) of 10147 and 10154 is 103032638.
LCM(10147,10154) = 103032638
LCM of 10147 and 10154
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10147 and 10154 by Prime method
- Least Common Multiple of 10147 and 10154 with GCF Formula
LCM of 10147 and 10154 is 103032638
Least common multiple can be found by multiplying the highest exponent prime factors of 10147 and 10154. First we will calculate the prime factors of 10147 and 10154.
Prime Factorization of 10147
| 73 | 10147 |
| 139 | 139 |
| 1 |
Prime factors of 10147 are 73,139. Prime factorization of 10147 in exponential form is:
10147 = 731×1391
Prime Factorization of 10154
| 2 | 10154 |
| 5077 | 5077 |
| 1 |
Prime factors of 10154 are 2,5077. Prime factorization of 10154 in exponential form is:
10154 = 21×50771
Now multiplying the highest exponent prime factors to calculate the LCM of 10147 and 10154.
LCM(10147,10154) = 21×731×1391×50771
LCM(10147,10154) = 103032638
Factors of 10147
List of positive integer factors of 10147 that divides 10147 without a remainder.
1, 73, 139, 10147
Factors of 10154
List of positive integer factors of 10154 that divides 10154 without a remainder.
1, 2, 5077, 10154
Least Common Multiple of 10147 and 10154 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10147 and 10154, than apply into the LCM equation.
GCF(10147,10154) = 1
LCM(10147,10154) = ( 10147 × 10154) / 1
LCM(10147,10154) = 103032638 / 1
LCM(10147,10154) = 103032638
Properties of LCM 10147 and 10154
(i) The LCM of 10154 and 10147 is associative
LCM of 10147 and 10154 = LCM of 10154 and 10147
Related Least Common Multiples of 10147
Related Least Common Multiples of 10154
Frequently Asked Questions on LCM of 10147 and 10154
1. What is the LCM of 10147 and 10154?
Answer: LCM of 10147 and 10154 is 103032638.
2. What are the Factors of 10147?
Answer: Factors of 10147 are 1, 73, 139, 10147. There are 4 integers that are factors of 10147. The greatest factor of 10147 is 10147.
3. What are the Factors of 10154?
Answer: Factors of 10154 are 1, 2, 5077, 10154. There are 4 integers that are factors of 10154. The greatest factor of 10154 is 10154.
4. How to Find the LCM of 10147 and 10154?
Answer:
Least Common Multiple of 10147 and 10154 = 103032638
Step 1: Find the prime factorization of 10147
10147 = 73 x 139
Step 2: Find the prime factorization of 10154
10154 = 2 x 5077
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103032638 = 2 x 73 x 139 x 5077
Step 4: Therefore, the least common multiple of 10147 and 10154 is 103032638.