Least Common Multiple of 10054 and 10061
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10054 and 10061 the smallest integer that is 101153294 that is divisible by both numbers.
Least Common Multiple (LCM) of 10054 and 10061 is 101153294.
LCM(10054,10061) = 101153294
LCM of 10054 and 10061
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10054 and 10061 by Prime method
- Least Common Multiple of 10054 and 10061 with GCF Formula
LCM of 10054 and 10061 is 101153294
Least common multiple can be found by multiplying the highest exponent prime factors of 10054 and 10061. First we will calculate the prime factors of 10054 and 10061.
Prime Factorization of 10054
| 2 | 10054 |
| 11 | 5027 |
| 457 | 457 |
| 1 |
Prime factors of 10054 are 2, 11,457. Prime factorization of 10054 in exponential form is:
10054 = 21×111×4571
Prime Factorization of 10061
| 10061 | 10061 |
| 1 |
Prime factors of 10061 are 10061. Prime factorization of 10061 in exponential form is:
10061 = 100611
Now multiplying the highest exponent prime factors to calculate the LCM of 10054 and 10061.
LCM(10054,10061) = 21×111×4571×100611
LCM(10054,10061) = 101153294
Factors of 10054
List of positive integer factors of 10054 that divides 10054 without a remainder.
1, 2, 11, 22, 457, 914, 5027, 10054
Factors of 10061
List of positive integer factors of 10061 that divides 10061 without a remainder.
1, 10061
Least Common Multiple of 10054 and 10061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10054 and 10061, than apply into the LCM equation.
GCF(10054,10061) = 1
LCM(10054,10061) = ( 10054 × 10061) / 1
LCM(10054,10061) = 101153294 / 1
LCM(10054,10061) = 101153294
Properties of LCM 10054 and 10061
(i) The LCM of 10061 and 10054 is associative
LCM of 10054 and 10061 = LCM of 10061 and 10054
Related Least Common Multiples of 10054
Related Least Common Multiples of 10061
Frequently Asked Questions on LCM of 10054 and 10061
1. What is the LCM of 10054 and 10061?
Answer: LCM of 10054 and 10061 is 101153294.
2. What are the Factors of 10054?
Answer: Factors of 10054 are 1, 2, 11, 22, 457, 914, 5027, 10054. There are 8 integers that are factors of 10054. The greatest factor of 10054 is 10054.
3. What are the Factors of 10061?
Answer: Factors of 10061 are 1, 10061. There are 2 integers that are factors of 10061. The greatest factor of 10061 is 10061.
4. How to Find the LCM of 10054 and 10061?
Answer:
Least Common Multiple of 10054 and 10061 = 101153294
Step 1: Find the prime factorization of 10054
10054 = 2 x 11 x 457
Step 2: Find the prime factorization of 10061
10061 = 10061
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101153294 = 2 x 11 x 457 x 10061
Step 4: Therefore, the least common multiple of 10054 and 10061 is 101153294.