Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2604 and 2608 the smallest integer that is 1697808 that is divisible by both numbers.
Least Common Multiple (LCM) of 2604 and 2608 is 1697808.
LCM(2604,2608) = 1697808
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 2604 and 2608. First we will calculate the prime factors of 2604 and 2608.
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
Prime Factorization of 2608
2 | 2608 |
2 | 1304 |
2 | 652 |
2 | 326 |
163 | 163 |
1 |
Prime factors of 2608 are 2,163. Prime factorization of 2608 in exponential form is:
2608 = 24×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 2604 and 2608.
LCM(2604,2608) = 24×31×71×311×1631
LCM(2604,2608) = 1697808
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
Factors of 2608
List of positive integer factors of 2608 that divides 2608 without a remainder.
1, 2, 4, 8, 16, 163, 326, 652, 1304, 2608
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2604 and 2608, than apply into the LCM equation.
GCF(2604,2608) = 4
LCM(2604,2608) = ( 2604 × 2608) / 4
LCM(2604,2608) = 6791232 / 4
LCM(2604,2608) = 1697808
(i) The LCM of 2608 and 2604 is associative
LCM of 2604 and 2608 = LCM of 2608 and 2604
1. What is the LCM of 2604 and 2608?
Answer: LCM of 2604 and 2608 is 1697808.
2. 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.
3. What are the Factors of 2608?
Answer: Factors of 2608 are 1, 2, 4, 8, 16, 163, 326, 652, 1304, 2608. There are 10 integers that are factors of 2608. The greatest factor of 2608 is 2608.
4. How to Find the LCM of 2604 and 2608?
Answer:
Least Common Multiple of 2604 and 2608 = 1697808
Step 1: Find the prime factorization of 2604
2604 = 2 x 2 x 3 x 7 x 31
Step 2: Find the prime factorization of 2608
2608 = 2 x 2 x 2 x 2 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1697808 = 2 x 2 x 2 x 2 x 3 x 7 x 31 x 163
Step 4: Therefore, the least common multiple of 2604 and 2608 is 1697808.