Least Common Multiple of 6623 and 6627
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6623 and 6627 the smallest integer that is 43890621 that is divisible by both numbers.
Least Common Multiple (LCM) of 6623 and 6627 is 43890621.
LCM(6623,6627) = 43890621
LCM of 6623 and 6627
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6623 and 6627 by Prime method
- Least Common Multiple of 6623 and 6627 with GCF Formula
LCM of 6623 and 6627 is 43890621
Least common multiple can be found by multiplying the highest exponent prime factors of 6623 and 6627. First we will calculate the prime factors of 6623 and 6627.
Prime Factorization of 6623
| 37 | 6623 |
| 179 | 179 |
| 1 |
Prime factors of 6623 are 37,179. Prime factorization of 6623 in exponential form is:
6623 = 371×1791
Prime Factorization of 6627
| 3 | 6627 |
| 47 | 2209 |
| 47 | 47 |
| 1 |
Prime factors of 6627 are 3,47. Prime factorization of 6627 in exponential form is:
6627 = 31×472
Now multiplying the highest exponent prime factors to calculate the LCM of 6623 and 6627.
LCM(6623,6627) = 31×371×472×1791
LCM(6623,6627) = 43890621
Factors of 6623
List of positive integer factors of 6623 that divides 6623 without a remainder.
1, 37, 179, 6623
Factors of 6627
List of positive integer factors of 6627 that divides 6627 without a remainder.
1, 3, 47, 141, 2209, 6627
Least Common Multiple of 6623 and 6627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6623 and 6627, than apply into the LCM equation.
GCF(6623,6627) = 1
LCM(6623,6627) = ( 6623 × 6627) / 1
LCM(6623,6627) = 43890621 / 1
LCM(6623,6627) = 43890621
Properties of LCM 6623 and 6627
(i) The LCM of 6627 and 6623 is associative
LCM of 6623 and 6627 = LCM of 6627 and 6623
Related Least Common Multiples of 6623
Related Least Common Multiples of 6627
Frequently Asked Questions on LCM of 6623 and 6627
1. What is the LCM of 6623 and 6627?
Answer: LCM of 6623 and 6627 is 43890621.
2. What are the Factors of 6623?
Answer: Factors of 6623 are 1, 37, 179, 6623. There are 4 integers that are factors of 6623. The greatest factor of 6623 is 6623.
3. What are the Factors of 6627?
Answer: Factors of 6627 are 1, 3, 47, 141, 2209, 6627. There are 6 integers that are factors of 6627. The greatest factor of 6627 is 6627.
4. How to Find the LCM of 6623 and 6627?
Answer:
Least Common Multiple of 6623 and 6627 = 43890621
Step 1: Find the prime factorization of 6623
6623 = 37 x 179
Step 2: Find the prime factorization of 6627
6627 = 3 x 47 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43890621 = 3 x 37 x 47 x 47 x 179
Step 4: Therefore, the least common multiple of 6623 and 6627 is 43890621.