Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9429 and 9437 the smallest integer that is 88981473 that is divisible by both numbers.
Least Common Multiple (LCM) of 9429 and 9437 is 88981473.
LCM(9429,9437) = 88981473
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 9429 and 9437. First we will calculate the prime factors of 9429 and 9437.
Prime Factorization of 9429
3 | 9429 |
7 | 3143 |
449 | 449 |
1 |
Prime factors of 9429 are 3, 7,449. Prime factorization of 9429 in exponential form is:
9429 = 31×71×4491
Prime Factorization of 9437
9437 | 9437 |
1 |
Prime factors of 9437 are 9437. Prime factorization of 9437 in exponential form is:
9437 = 94371
Now multiplying the highest exponent prime factors to calculate the LCM of 9429 and 9437.
LCM(9429,9437) = 31×71×4491×94371
LCM(9429,9437) = 88981473
Factors of 9429
List of positive integer factors of 9429 that divides 9429 without a remainder.
1, 3, 7, 21, 449, 1347, 3143, 9429
Factors of 9437
List of positive integer factors of 9437 that divides 9437 without a remainder.
1, 9437
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9429 and 9437, than apply into the LCM equation.
GCF(9429,9437) = 1
LCM(9429,9437) = ( 9429 × 9437) / 1
LCM(9429,9437) = 88981473 / 1
LCM(9429,9437) = 88981473
(i) The LCM of 9437 and 9429 is associative
LCM of 9429 and 9437 = LCM of 9437 and 9429
1. What is the LCM of 9429 and 9437?
Answer: LCM of 9429 and 9437 is 88981473.
2. What are the Factors of 9429?
Answer: Factors of 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429. There are 8 integers that are factors of 9429. The greatest factor of 9429 is 9429.
3. What are the Factors of 9437?
Answer: Factors of 9437 are 1, 9437. There are 2 integers that are factors of 9437. The greatest factor of 9437 is 9437.
4. How to Find the LCM of 9429 and 9437?
Answer:
Least Common Multiple of 9429 and 9437 = 88981473
Step 1: Find the prime factorization of 9429
9429 = 3 x 7 x 449
Step 2: Find the prime factorization of 9437
9437 = 9437
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88981473 = 3 x 7 x 449 x 9437
Step 4: Therefore, the least common multiple of 9429 and 9437 is 88981473.