Least Common Multiple of 10437 and 10445
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10437 and 10445 the smallest integer that is 109014465 that is divisible by both numbers.
Least Common Multiple (LCM) of 10437 and 10445 is 109014465.
LCM(10437,10445) = 109014465
LCM of 10437 and 10445
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10437 and 10445 by Prime method
- Least Common Multiple of 10437 and 10445 with GCF Formula
LCM of 10437 and 10445 is 109014465
Least common multiple can be found by multiplying the highest exponent prime factors of 10437 and 10445. First we will calculate the prime factors of 10437 and 10445.
Prime Factorization of 10437
| 3 | 10437 |
| 7 | 3479 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 10437 are 3, 7,71. Prime factorization of 10437 in exponential form is:
10437 = 31×72×711
Prime Factorization of 10445
| 5 | 10445 |
| 2089 | 2089 |
| 1 |
Prime factors of 10445 are 5,2089. Prime factorization of 10445 in exponential form is:
10445 = 51×20891
Now multiplying the highest exponent prime factors to calculate the LCM of 10437 and 10445.
LCM(10437,10445) = 31×51×72×711×20891
LCM(10437,10445) = 109014465
Factors of 10437
List of positive integer factors of 10437 that divides 10437 without a remainder.
1, 3, 7, 21, 49, 71, 147, 213, 497, 1491, 3479, 10437
Factors of 10445
List of positive integer factors of 10445 that divides 10445 without a remainder.
1, 5, 2089, 10445
Least Common Multiple of 10437 and 10445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10437 and 10445, than apply into the LCM equation.
GCF(10437,10445) = 1
LCM(10437,10445) = ( 10437 × 10445) / 1
LCM(10437,10445) = 109014465 / 1
LCM(10437,10445) = 109014465
Properties of LCM 10437 and 10445
(i) The LCM of 10445 and 10437 is associative
LCM of 10437 and 10445 = LCM of 10445 and 10437
Related Least Common Multiples of 10437
Related Least Common Multiples of 10445
Frequently Asked Questions on LCM of 10437 and 10445
1. What is the LCM of 10437 and 10445?
Answer: LCM of 10437 and 10445 is 109014465.
2. What are the Factors of 10437?
Answer: Factors of 10437 are 1, 3, 7, 21, 49, 71, 147, 213, 497, 1491, 3479, 10437. There are 12 integers that are factors of 10437. The greatest factor of 10437 is 10437.
3. What are the Factors of 10445?
Answer: Factors of 10445 are 1, 5, 2089, 10445. There are 4 integers that are factors of 10445. The greatest factor of 10445 is 10445.
4. How to Find the LCM of 10437 and 10445?
Answer:
Least Common Multiple of 10437 and 10445 = 109014465
Step 1: Find the prime factorization of 10437
10437 = 3 x 7 x 7 x 71
Step 2: Find the prime factorization of 10445
10445 = 5 x 2089
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 109014465 = 3 x 5 x 7 x 7 x 71 x 2089
Step 4: Therefore, the least common multiple of 10437 and 10445 is 109014465.