Least Common Multiple of 7245 and 7246
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7245 and 7246 the smallest integer that is 52497270 that is divisible by both numbers.
Least Common Multiple (LCM) of 7245 and 7246 is 52497270.
LCM(7245,7246) = 52497270
LCM of 7245 and 7246
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7245 and 7246 by Prime method
- Least Common Multiple of 7245 and 7246 with GCF Formula
LCM of 7245 and 7246 is 52497270
Least common multiple can be found by multiplying the highest exponent prime factors of 7245 and 7246. First we will calculate the prime factors of 7245 and 7246.
Prime Factorization of 7245
| 3 | 7245 |
| 3 | 2415 |
| 5 | 805 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 7245 are 3, 5, 7,23. Prime factorization of 7245 in exponential form is:
7245 = 32×51×71×231
Prime Factorization of 7246
| 2 | 7246 |
| 3623 | 3623 |
| 1 |
Prime factors of 7246 are 2,3623. Prime factorization of 7246 in exponential form is:
7246 = 21×36231
Now multiplying the highest exponent prime factors to calculate the LCM of 7245 and 7246.
LCM(7245,7246) = 21×32×51×71×231×36231
LCM(7245,7246) = 52497270
Factors of 7245
List of positive integer factors of 7245 that divides 7245 without a remainder.
1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245
Factors of 7246
List of positive integer factors of 7246 that divides 7246 without a remainder.
1, 2, 3623, 7246
Least Common Multiple of 7245 and 7246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7245 and 7246, than apply into the LCM equation.
GCF(7245,7246) = 1
LCM(7245,7246) = ( 7245 × 7246) / 1
LCM(7245,7246) = 52497270 / 1
LCM(7245,7246) = 52497270
Properties of LCM 7245 and 7246
(i) The LCM of 7246 and 7245 is associative
LCM of 7245 and 7246 = LCM of 7246 and 7245
Related Least Common Multiples of 7245
Related Least Common Multiples of 7246
Frequently Asked Questions on LCM of 7245 and 7246
1. What is the LCM of 7245 and 7246?
Answer: LCM of 7245 and 7246 is 52497270.
2. What are the Factors of 7245?
Answer: Factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245. There are 24 integers that are factors of 7245. The greatest factor of 7245 is 7245.
3. What are the Factors of 7246?
Answer: Factors of 7246 are 1, 2, 3623, 7246. There are 4 integers that are factors of 7246. The greatest factor of 7246 is 7246.
4. How to Find the LCM of 7245 and 7246?
Answer:
Least Common Multiple of 7245 and 7246 = 52497270
Step 1: Find the prime factorization of 7245
7245 = 3 x 3 x 5 x 7 x 23
Step 2: Find the prime factorization of 7246
7246 = 2 x 3623
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52497270 = 2 x 3 x 3 x 5 x 7 x 23 x 3623
Step 4: Therefore, the least common multiple of 7245 and 7246 is 52497270.