Least Common Multiple of 6603 and 6607
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6603 and 6607 the smallest integer that is 43626021 that is divisible by both numbers.
Least Common Multiple (LCM) of 6603 and 6607 is 43626021.
LCM(6603,6607) = 43626021
LCM of 6603 and 6607
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6603 and 6607 by Prime method
- Least Common Multiple of 6603 and 6607 with GCF Formula
LCM of 6603 and 6607 is 43626021
Least common multiple can be found by multiplying the highest exponent prime factors of 6603 and 6607. First we will calculate the prime factors of 6603 and 6607.
Prime Factorization of 6603
| 3 | 6603 |
| 31 | 2201 |
| 71 | 71 |
| 1 |
Prime factors of 6603 are 3, 31,71. Prime factorization of 6603 in exponential form is:
6603 = 31×311×711
Prime Factorization of 6607
| 6607 | 6607 |
| 1 |
Prime factors of 6607 are 6607. Prime factorization of 6607 in exponential form is:
6607 = 66071
Now multiplying the highest exponent prime factors to calculate the LCM of 6603 and 6607.
LCM(6603,6607) = 31×311×711×66071
LCM(6603,6607) = 43626021
Factors of 6603
List of positive integer factors of 6603 that divides 6603 without a remainder.
1, 3, 31, 71, 93, 213, 2201, 6603
Factors of 6607
List of positive integer factors of 6607 that divides 6607 without a remainder.
1, 6607
Least Common Multiple of 6603 and 6607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6603 and 6607, than apply into the LCM equation.
GCF(6603,6607) = 1
LCM(6603,6607) = ( 6603 × 6607) / 1
LCM(6603,6607) = 43626021 / 1
LCM(6603,6607) = 43626021
Properties of LCM 6603 and 6607
(i) The LCM of 6607 and 6603 is associative
LCM of 6603 and 6607 = LCM of 6607 and 6603
Related Least Common Multiples of 6603
Related Least Common Multiples of 6607
Frequently Asked Questions on LCM of 6603 and 6607
1. What is the LCM of 6603 and 6607?
Answer: LCM of 6603 and 6607 is 43626021.
2. What are the Factors of 6603?
Answer: Factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603. There are 8 integers that are factors of 6603. The greatest factor of 6603 is 6603.
3. What are the Factors of 6607?
Answer: Factors of 6607 are 1, 6607. There are 2 integers that are factors of 6607. The greatest factor of 6607 is 6607.
4. How to Find the LCM of 6603 and 6607?
Answer:
Least Common Multiple of 6603 and 6607 = 43626021
Step 1: Find the prime factorization of 6603
6603 = 3 x 31 x 71
Step 2: Find the prime factorization of 6607
6607 = 6607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43626021 = 3 x 31 x 71 x 6607
Step 4: Therefore, the least common multiple of 6603 and 6607 is 43626021.