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 2604 the smallest integer that is 6778212 that is divisible by both numbers.
Least Common Multiple (LCM) of 2603 and 2604 is 6778212.
LCM(2603,2604) = 6778212
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2603 and 2604. First we will calculate the prime factors of 2603 and 2604.
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 2604
2 | 2604 |
2 | 1302 |
3 | 651 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 2604 are 2, 3, 7,31. Prime factorization of 2604 in exponential form is:
2604 = 22×31×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 2603 and 2604.
LCM(2603,2604) = 22×31×71×191×311×1371
LCM(2603,2604) = 6778212
Factors of 2603
List of positive integer factors of 2603 that divides 2603 without a remainder.
1, 19, 137, 2603
Factors of 2604
List of positive integer factors of 2604 that divides 2604 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2603 and 2604, than apply into the LCM equation.
GCF(2603,2604) = 1
LCM(2603,2604) = ( 2603 × 2604) / 1
LCM(2603,2604) = 6778212 / 1
LCM(2603,2604) = 6778212
(i) The LCM of 2604 and 2603 is associative
LCM of 2603 and 2604 = LCM of 2604 and 2603
1. What is the LCM of 2603 and 2604?
Answer: LCM of 2603 and 2604 is 6778212.
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 2604?
Answer: Factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604. There are 24 integers that are factors of 2604. The greatest factor of 2604 is 2604.
4. How to Find the LCM of 2603 and 2604?
Answer:
Least Common Multiple of 2603 and 2604 = 6778212
Step 1: Find the prime factorization of 2603
2603 = 19 x 137
Step 2: Find the prime factorization of 2604
2604 = 2 x 2 x 3 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6778212 = 2 x 2 x 3 x 7 x 19 x 31 x 137
Step 4: Therefore, the least common multiple of 2603 and 2604 is 6778212.