Least Common Multiple of 2603 and 2607
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2603 and 2607 the smallest integer that is 6786021 that is divisible by both numbers.
Least Common Multiple (LCM) of 2603 and 2607 is 6786021.
LCM(2603,2607) = 6786021
LCM of 2603 and 2607
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2603 and 2607 by Prime method
- Least Common Multiple of 2603 and 2607 with GCF Formula
LCM of 2603 and 2607 is 6786021
Least common multiple can be found by multiplying the highest exponent prime factors of 2603 and 2607. First we will calculate the prime factors of 2603 and 2607.
Prime Factorization of 2603
| 19 | 2603 |
| 137 | 137 |
| 1 |
Prime factors of 2603 are 19,137. Prime factorization of 2603 in exponential form is:
2603 = 191×1371
Prime Factorization of 2607
| 3 | 2607 |
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 2607 are 3, 11,79. Prime factorization of 2607 in exponential form is:
2607 = 31×111×791
Now multiplying the highest exponent prime factors to calculate the LCM of 2603 and 2607.
LCM(2603,2607) = 31×111×191×791×1371
LCM(2603,2607) = 6786021
Factors of 2603
List of positive integer factors of 2603 that divides 2603 without a remainder.
1, 19, 137, 2603
Factors of 2607
List of positive integer factors of 2607 that divides 2607 without a remainder.
1, 3, 11, 33, 79, 237, 869, 2607
Least Common Multiple of 2603 and 2607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2603 and 2607, than apply into the LCM equation.
GCF(2603,2607) = 1
LCM(2603,2607) = ( 2603 × 2607) / 1
LCM(2603,2607) = 6786021 / 1
LCM(2603,2607) = 6786021
Properties of LCM 2603 and 2607
(i) The LCM of 2607 and 2603 is associative
LCM of 2603 and 2607 = LCM of 2607 and 2603
Related Least Common Multiples of 2603
Related Least Common Multiples of 2607
Frequently Asked Questions on LCM of 2603 and 2607
1. What is the LCM of 2603 and 2607?
Answer: LCM of 2603 and 2607 is 6786021.
2. What are the Factors of 2603?
Answer: Factors of 2603 are 1, 19, 137, 2603. There are 4 integers that are factors of 2603. The greatest factor of 2603 is 2603.
3. What are the Factors of 2607?
Answer: Factors of 2607 are 1, 3, 11, 33, 79, 237, 869, 2607. There are 8 integers that are factors of 2607. The greatest factor of 2607 is 2607.
4. How to Find the LCM of 2603 and 2607?
Answer:
Least Common Multiple of 2603 and 2607 = 6786021
Step 1: Find the prime factorization of 2603
2603 = 19 x 137
Step 2: Find the prime factorization of 2607
2607 = 3 x 11 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6786021 = 3 x 11 x 19 x 79 x 137
Step 4: Therefore, the least common multiple of 2603 and 2607 is 6786021.