Least Common Multiple of 7623 and 7627
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7623 and 7627 the smallest integer that is 58140621 that is divisible by both numbers.
Least Common Multiple (LCM) of 7623 and 7627 is 58140621.
LCM(7623,7627) = 58140621
LCM of 7623 and 7627
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7623 and 7627 by Prime method
- Least Common Multiple of 7623 and 7627 with GCF Formula
LCM of 7623 and 7627 is 58140621
Least common multiple can be found by multiplying the highest exponent prime factors of 7623 and 7627. First we will calculate the prime factors of 7623 and 7627.
Prime Factorization of 7623
| 3 | 7623 |
| 3 | 2541 |
| 7 | 847 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 7623 are 3, 7,11. Prime factorization of 7623 in exponential form is:
7623 = 32×71×112
Prime Factorization of 7627
| 29 | 7627 |
| 263 | 263 |
| 1 |
Prime factors of 7627 are 29,263. Prime factorization of 7627 in exponential form is:
7627 = 291×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 7623 and 7627.
LCM(7623,7627) = 32×71×112×291×2631
LCM(7623,7627) = 58140621
Factors of 7623
List of positive integer factors of 7623 that divides 7623 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623
Factors of 7627
List of positive integer factors of 7627 that divides 7627 without a remainder.
1, 29, 263, 7627
Least Common Multiple of 7623 and 7627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7623 and 7627, than apply into the LCM equation.
GCF(7623,7627) = 1
LCM(7623,7627) = ( 7623 × 7627) / 1
LCM(7623,7627) = 58140621 / 1
LCM(7623,7627) = 58140621
Properties of LCM 7623 and 7627
(i) The LCM of 7627 and 7623 is associative
LCM of 7623 and 7627 = LCM of 7627 and 7623
Related Least Common Multiples of 7623
Related Least Common Multiples of 7627
Frequently Asked Questions on LCM of 7623 and 7627
1. What is the LCM of 7623 and 7627?
Answer: LCM of 7623 and 7627 is 58140621.
2. What are the Factors of 7623?
Answer: Factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623. There are 18 integers that are factors of 7623. The greatest factor of 7623 is 7623.
3. What are the Factors of 7627?
Answer: Factors of 7627 are 1, 29, 263, 7627. There are 4 integers that are factors of 7627. The greatest factor of 7627 is 7627.
4. How to Find the LCM of 7623 and 7627?
Answer:
Least Common Multiple of 7623 and 7627 = 58140621
Step 1: Find the prime factorization of 7623
7623 = 3 x 3 x 7 x 11 x 11
Step 2: Find the prime factorization of 7627
7627 = 29 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58140621 = 3 x 3 x 7 x 11 x 11 x 29 x 263
Step 4: Therefore, the least common multiple of 7623 and 7627 is 58140621.