Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12418 and 12426 the smallest integer that is 77153034 that is divisible by both numbers.
Least Common Multiple (LCM) of 12418 and 12426 is 77153034.
LCM(12418,12426) = 77153034
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 12418 and 12426. First we will calculate the prime factors of 12418 and 12426.
Prime Factorization of 12418
2 | 12418 |
7 | 6209 |
887 | 887 |
1 |
Prime factors of 12418 are 2, 7,887. Prime factorization of 12418 in exponential form is:
12418 = 21×71×8871
Prime Factorization of 12426
2 | 12426 |
3 | 6213 |
19 | 2071 |
109 | 109 |
1 |
Prime factors of 12426 are 2, 3, 19,109. Prime factorization of 12426 in exponential form is:
12426 = 21×31×191×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 12418 and 12426.
LCM(12418,12426) = 21×31×71×191×1091×8871
LCM(12418,12426) = 77153034
Factors of 12418
List of positive integer factors of 12418 that divides 12418 without a remainder.
1, 2, 7, 14, 887, 1774, 6209, 12418
Factors of 12426
List of positive integer factors of 12426 that divides 12426 without a remainder.
1, 2, 3, 6, 19, 38, 57, 109, 114, 218, 327, 654, 2071, 4142, 6213, 12426
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12418 and 12426, than apply into the LCM equation.
GCF(12418,12426) = 2
LCM(12418,12426) = ( 12418 × 12426) / 2
LCM(12418,12426) = 154306068 / 2
LCM(12418,12426) = 77153034
(i) The LCM of 12426 and 12418 is associative
LCM of 12418 and 12426 = LCM of 12426 and 12418
1. What is the LCM of 12418 and 12426?
Answer: LCM of 12418 and 12426 is 77153034.
2. What are the Factors of 12418?
Answer: Factors of 12418 are 1, 2, 7, 14, 887, 1774, 6209, 12418. There are 8 integers that are factors of 12418. The greatest factor of 12418 is 12418.
3. What are the Factors of 12426?
Answer: Factors of 12426 are 1, 2, 3, 6, 19, 38, 57, 109, 114, 218, 327, 654, 2071, 4142, 6213, 12426. There are 16 integers that are factors of 12426. The greatest factor of 12426 is 12426.
4. How to Find the LCM of 12418 and 12426?
Answer:
Least Common Multiple of 12418 and 12426 = 77153034
Step 1: Find the prime factorization of 12418
12418 = 2 x 7 x 887
Step 2: Find the prime factorization of 12426
12426 = 2 x 3 x 19 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77153034 = 2 x 3 x 7 x 19 x 109 x 887
Step 4: Therefore, the least common multiple of 12418 and 12426 is 77153034.