Least Common Multiple of 26621 and 26628
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 26621 and 26628 the smallest integer that is 101266284 that is divisible by both numbers.
Least Common Multiple (LCM) of 26621 and 26628 is 101266284.
LCM(26621,26628) = 101266284
LCM of 26621 and 26628
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26621 and 26628 by Prime method
- Least Common Multiple of 26621 and 26628 with GCF Formula
LCM of 26621 and 26628 is 101266284
Least common multiple can be found by multiplying the highest exponent prime factors of 26621 and 26628. First we will calculate the prime factors of 26621 and 26628.
Prime Factorization of 26621
| 7 | 26621 |
| 3803 | 3803 |
| 1 |
Prime factors of 26621 are 7,3803. Prime factorization of 26621 in exponential form is:
26621 = 71×38031
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 26621 and 26628.
LCM(26621,26628) = 22×31×71×3171×38031
LCM(26621,26628) = 101266284
Factors of 26621
List of positive integer factors of 26621 that divides 26621 without a remainder.
1, 7, 3803, 26621
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
Least Common Multiple of 26621 and 26628 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26621 and 26628, than apply into the LCM equation.
GCF(26621,26628) = 7
LCM(26621,26628) = ( 26621 × 26628) / 7
LCM(26621,26628) = 708863988 / 7
LCM(26621,26628) = 101266284
Properties of LCM 26621 and 26628
(i) The LCM of 26628 and 26621 is associative
LCM of 26621 and 26628 = LCM of 26628 and 26621
Related Least Common Multiples of 26621
Related Least Common Multiples of 26628
Frequently Asked Questions on LCM of 26621 and 26628
1. What is the LCM of 26621 and 26628?
Answer: LCM of 26621 and 26628 is 101266284.
2. What are the Factors of 26621?
Answer: Factors of 26621 are 1, 7, 3803, 26621. There are 4 integers that are factors of 26621. The greatest factor of 26621 is 26621.
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 26621 and 26628?
Answer:
Least Common Multiple of 26621 and 26628 = 101266284
Step 1: Find the prime factorization of 26621
26621 = 7 x 3803
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 = 101266284 = 2 x 2 x 3 x 7 x 317 x 3803
Step 4: Therefore, the least common multiple of 26621 and 26628 is 101266284.