Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15418 and 15422 the smallest integer that is 118888198 that is divisible by both numbers.
Least Common Multiple (LCM) of 15418 and 15422 is 118888198.
LCM(15418,15422) = 118888198
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 15418 and 15422. First we will calculate the prime factors of 15418 and 15422.
Prime Factorization of 15418
2 | 15418 |
13 | 7709 |
593 | 593 |
1 |
Prime factors of 15418 are 2, 13,593. Prime factorization of 15418 in exponential form is:
15418 = 21×131×5931
Prime Factorization of 15422
2 | 15422 |
11 | 7711 |
701 | 701 |
1 |
Prime factors of 15422 are 2, 11,701. Prime factorization of 15422 in exponential form is:
15422 = 21×111×7011
Now multiplying the highest exponent prime factors to calculate the LCM of 15418 and 15422.
LCM(15418,15422) = 21×111×131×5931×7011
LCM(15418,15422) = 118888198
Factors of 15418
List of positive integer factors of 15418 that divides 15418 without a remainder.
1, 2, 13, 26, 593, 1186, 7709, 15418
Factors of 15422
List of positive integer factors of 15422 that divides 15422 without a remainder.
1, 2, 11, 22, 701, 1402, 7711, 15422
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15418 and 15422, than apply into the LCM equation.
GCF(15418,15422) = 2
LCM(15418,15422) = ( 15418 × 15422) / 2
LCM(15418,15422) = 237776396 / 2
LCM(15418,15422) = 118888198
(i) The LCM of 15422 and 15418 is associative
LCM of 15418 and 15422 = LCM of 15422 and 15418
1. What is the LCM of 15418 and 15422?
Answer: LCM of 15418 and 15422 is 118888198.
2. What are the Factors of 15418?
Answer: Factors of 15418 are 1, 2, 13, 26, 593, 1186, 7709, 15418. There are 8 integers that are factors of 15418. The greatest factor of 15418 is 15418.
3. What are the Factors of 15422?
Answer: Factors of 15422 are 1, 2, 11, 22, 701, 1402, 7711, 15422. There are 8 integers that are factors of 15422. The greatest factor of 15422 is 15422.
4. How to Find the LCM of 15418 and 15422?
Answer:
Least Common Multiple of 15418 and 15422 = 118888198
Step 1: Find the prime factorization of 15418
15418 = 2 x 13 x 593
Step 2: Find the prime factorization of 15422
15422 = 2 x 11 x 701
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 118888198 = 2 x 11 x 13 x 593 x 701
Step 4: Therefore, the least common multiple of 15418 and 15422 is 118888198.