Least Common Multiple of 7420 and 7427
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7420 and 7427 the smallest integer that is 7872620 that is divisible by both numbers.
Least Common Multiple (LCM) of 7420 and 7427 is 7872620.
LCM(7420,7427) = 7872620
LCM of 7420 and 7427
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7420 and 7427 by Prime method
- Least Common Multiple of 7420 and 7427 with GCF Formula
LCM of 7420 and 7427 is 7872620
Least common multiple can be found by multiplying the highest exponent prime factors of 7420 and 7427. First we will calculate the prime factors of 7420 and 7427.
Prime Factorization of 7420
| 2 | 7420 |
| 2 | 3710 |
| 5 | 1855 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 7420 are 2, 5, 7,53. Prime factorization of 7420 in exponential form is:
7420 = 22×51×71×531
Prime Factorization of 7427
| 7 | 7427 |
| 1061 | 1061 |
| 1 |
Prime factors of 7427 are 7,1061. Prime factorization of 7427 in exponential form is:
7427 = 71×10611
Now multiplying the highest exponent prime factors to calculate the LCM of 7420 and 7427.
LCM(7420,7427) = 22×51×71×531×10611
LCM(7420,7427) = 7872620
Factors of 7420
List of positive integer factors of 7420 that divides 7420 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420
Factors of 7427
List of positive integer factors of 7427 that divides 7427 without a remainder.
1, 7, 1061, 7427
Least Common Multiple of 7420 and 7427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7420 and 7427, than apply into the LCM equation.
GCF(7420,7427) = 7
LCM(7420,7427) = ( 7420 × 7427) / 7
LCM(7420,7427) = 55108340 / 7
LCM(7420,7427) = 7872620
Properties of LCM 7420 and 7427
(i) The LCM of 7427 and 7420 is associative
LCM of 7420 and 7427 = LCM of 7427 and 7420
Related Least Common Multiples of 7420
Related Least Common Multiples of 7427
Frequently Asked Questions on LCM of 7420 and 7427
1. What is the LCM of 7420 and 7427?
Answer: LCM of 7420 and 7427 is 7872620.
2. What are the Factors of 7420?
Answer: Factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420. There are 24 integers that are factors of 7420. The greatest factor of 7420 is 7420.
3. What are the Factors of 7427?
Answer: Factors of 7427 are 1, 7, 1061, 7427. There are 4 integers that are factors of 7427. The greatest factor of 7427 is 7427.
4. How to Find the LCM of 7420 and 7427?
Answer:
Least Common Multiple of 7420 and 7427 = 7872620
Step 1: Find the prime factorization of 7420
7420 = 2 x 2 x 5 x 7 x 53
Step 2: Find the prime factorization of 7427
7427 = 7 x 1061
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7872620 = 2 x 2 x 5 x 7 x 53 x 1061
Step 4: Therefore, the least common multiple of 7420 and 7427 is 7872620.