Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 26306 and 26313 the smallest integer that is 98884254 that is divisible by both numbers.
Least Common Multiple (LCM) of 26306 and 26313 is 98884254.
LCM(26306,26313) = 98884254
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 26306 and 26313. First we will calculate the prime factors of 26306 and 26313.
Prime Factorization of 26306
2 | 26306 |
7 | 13153 |
1879 | 1879 |
1 |
Prime factors of 26306 are 2, 7,1879. Prime factorization of 26306 in exponential form is:
26306 = 21×71×18791
Prime Factorization of 26313
3 | 26313 |
7 | 8771 |
7 | 1253 |
179 | 179 |
1 |
Prime factors of 26313 are 3, 7,179. Prime factorization of 26313 in exponential form is:
26313 = 31×72×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 26306 and 26313.
LCM(26306,26313) = 21×31×72×1791×18791
LCM(26306,26313) = 98884254
Factors of 26306
List of positive integer factors of 26306 that divides 26306 without a remainder.
1, 2, 7, 14, 1879, 3758, 13153, 26306
Factors of 26313
List of positive integer factors of 26313 that divides 26313 without a remainder.
1, 3, 7, 21, 49, 147, 179, 537, 1253, 3759, 8771, 26313
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26306 and 26313, than apply into the LCM equation.
GCF(26306,26313) = 7
LCM(26306,26313) = ( 26306 × 26313) / 7
LCM(26306,26313) = 692189778 / 7
LCM(26306,26313) = 98884254
(i) The LCM of 26313 and 26306 is associative
LCM of 26306 and 26313 = LCM of 26313 and 26306
1. What is the LCM of 26306 and 26313?
Answer: LCM of 26306 and 26313 is 98884254.
2. What are the Factors of 26306?
Answer: Factors of 26306 are 1, 2, 7, 14, 1879, 3758, 13153, 26306. There are 8 integers that are factors of 26306. The greatest factor of 26306 is 26306.
3. What are the Factors of 26313?
Answer: Factors of 26313 are 1, 3, 7, 21, 49, 147, 179, 537, 1253, 3759, 8771, 26313. There are 12 integers that are factors of 26313. The greatest factor of 26313 is 26313.
4. How to Find the LCM of 26306 and 26313?
Answer:
Least Common Multiple of 26306 and 26313 = 98884254
Step 1: Find the prime factorization of 26306
26306 = 2 x 7 x 1879
Step 2: Find the prime factorization of 26313
26313 = 3 x 7 x 7 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98884254 = 2 x 3 x 7 x 7 x 179 x 1879
Step 4: Therefore, the least common multiple of 26306 and 26313 is 98884254.