Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 26318 and 26322 the smallest integer that is 346371198 that is divisible by both numbers.
Least Common Multiple (LCM) of 26318 and 26322 is 346371198.
LCM(26318,26322) = 346371198
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 26318 and 26322. First we will calculate the prime factors of 26318 and 26322.
Prime Factorization of 26318
2 | 26318 |
13159 | 13159 |
1 |
Prime factors of 26318 are 2,13159. Prime factorization of 26318 in exponential form is:
26318 = 21×131591
Prime Factorization of 26322
2 | 26322 |
3 | 13161 |
41 | 4387 |
107 | 107 |
1 |
Prime factors of 26322 are 2, 3, 41,107. Prime factorization of 26322 in exponential form is:
26322 = 21×31×411×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 26318 and 26322.
LCM(26318,26322) = 21×31×411×1071×131591
LCM(26318,26322) = 346371198
Factors of 26318
List of positive integer factors of 26318 that divides 26318 without a remainder.
1, 2, 13159, 26318
Factors of 26322
List of positive integer factors of 26322 that divides 26322 without a remainder.
1, 2, 3, 6, 41, 82, 107, 123, 214, 246, 321, 642, 4387, 8774, 13161, 26322
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26318 and 26322, than apply into the LCM equation.
GCF(26318,26322) = 2
LCM(26318,26322) = ( 26318 × 26322) / 2
LCM(26318,26322) = 692742396 / 2
LCM(26318,26322) = 346371198
(i) The LCM of 26322 and 26318 is associative
LCM of 26318 and 26322 = LCM of 26322 and 26318
1. What is the LCM of 26318 and 26322?
Answer: LCM of 26318 and 26322 is 346371198.
2. What are the Factors of 26318?
Answer: Factors of 26318 are 1, 2, 13159, 26318. There are 4 integers that are factors of 26318. The greatest factor of 26318 is 26318.
3. What are the Factors of 26322?
Answer: Factors of 26322 are 1, 2, 3, 6, 41, 82, 107, 123, 214, 246, 321, 642, 4387, 8774, 13161, 26322. There are 16 integers that are factors of 26322. The greatest factor of 26322 is 26322.
4. How to Find the LCM of 26318 and 26322?
Answer:
Least Common Multiple of 26318 and 26322 = 346371198
Step 1: Find the prime factorization of 26318
26318 = 2 x 13159
Step 2: Find the prime factorization of 26322
26322 = 2 x 3 x 41 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 346371198 = 2 x 3 x 41 x 107 x 13159
Step 4: Therefore, the least common multiple of 26318 and 26322 is 346371198.