Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 26624 and 26628 the smallest integer that is 177235968 that is divisible by both numbers.
Least Common Multiple (LCM) of 26624 and 26628 is 177235968.
LCM(26624,26628) = 177235968
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 26624 and 26628. First we will calculate the prime factors of 26624 and 26628.
Prime Factorization of 26624
2 | 26624 |
2 | 13312 |
2 | 6656 |
2 | 3328 |
2 | 1664 |
2 | 832 |
2 | 416 |
2 | 208 |
2 | 104 |
2 | 52 |
2 | 26 |
13 | 13 |
1 |
Prime factors of 26624 are 2,13. Prime factorization of 26624 in exponential form is:
26624 = 211×131
Prime Factorization of 26628
2 | 26628 |
2 | 13314 |
3 | 6657 |
7 | 2219 |
317 | 317 |
1 |
Prime factors of 26628 are 2, 3, 7,317. Prime factorization of 26628 in exponential form is:
26628 = 22×31×71×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 26624 and 26628.
LCM(26624,26628) = 211×31×71×131×3171
LCM(26624,26628) = 177235968
Factors of 26624
List of positive integer factors of 26624 that divides 26624 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 6656, 13312, 26624
Factors of 26628
List of positive integer factors of 26628 that divides 26628 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 317, 634, 951, 1268, 1902, 2219, 3804, 4438, 6657, 8876, 13314, 26628
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26624 and 26628, than apply into the LCM equation.
GCF(26624,26628) = 4
LCM(26624,26628) = ( 26624 × 26628) / 4
LCM(26624,26628) = 708943872 / 4
LCM(26624,26628) = 177235968
(i) The LCM of 26628 and 26624 is associative
LCM of 26624 and 26628 = LCM of 26628 and 26624
1. What is the LCM of 26624 and 26628?
Answer: LCM of 26624 and 26628 is 177235968.
2. What are the Factors of 26624?
Answer: Factors of 26624 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 6656, 13312, 26624. There are 24 integers that are factors of 26624. The greatest factor of 26624 is 26624.
3. What are the Factors of 26628?
Answer: Factors of 26628 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 317, 634, 951, 1268, 1902, 2219, 3804, 4438, 6657, 8876, 13314, 26628. There are 24 integers that are factors of 26628. The greatest factor of 26628 is 26628.
4. How to Find the LCM of 26624 and 26628?
Answer:
Least Common Multiple of 26624 and 26628 = 177235968
Step 1: Find the prime factorization of 26624
26624 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13
Step 2: Find the prime factorization of 26628
26628 = 2 x 2 x 3 x 7 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 177235968 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 317
Step 4: Therefore, the least common multiple of 26624 and 26628 is 177235968.