Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9393 and 9400 the smallest integer that is 88294200 that is divisible by both numbers.
Least Common Multiple (LCM) of 9393 and 9400 is 88294200.
LCM(9393,9400) = 88294200
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 9393 and 9400. First we will calculate the prime factors of 9393 and 9400.
Prime Factorization of 9393
3 | 9393 |
31 | 3131 |
101 | 101 |
1 |
Prime factors of 9393 are 3, 31,101. Prime factorization of 9393 in exponential form is:
9393 = 31×311×1011
Prime Factorization of 9400
2 | 9400 |
2 | 4700 |
2 | 2350 |
5 | 1175 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 9400 are 2, 5,47. Prime factorization of 9400 in exponential form is:
9400 = 23×52×471
Now multiplying the highest exponent prime factors to calculate the LCM of 9393 and 9400.
LCM(9393,9400) = 23×31×52×311×471×1011
LCM(9393,9400) = 88294200
Factors of 9393
List of positive integer factors of 9393 that divides 9393 without a remainder.
1, 3, 31, 93, 101, 303, 3131, 9393
Factors of 9400
List of positive integer factors of 9400 that divides 9400 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9393 and 9400, than apply into the LCM equation.
GCF(9393,9400) = 1
LCM(9393,9400) = ( 9393 × 9400) / 1
LCM(9393,9400) = 88294200 / 1
LCM(9393,9400) = 88294200
(i) The LCM of 9400 and 9393 is associative
LCM of 9393 and 9400 = LCM of 9400 and 9393
1. What is the LCM of 9393 and 9400?
Answer: LCM of 9393 and 9400 is 88294200.
2. What are the Factors of 9393?
Answer: Factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393. There are 8 integers that are factors of 9393. The greatest factor of 9393 is 9393.
3. What are the Factors of 9400?
Answer: Factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400. There are 24 integers that are factors of 9400. The greatest factor of 9400 is 9400.
4. How to Find the LCM of 9393 and 9400?
Answer:
Least Common Multiple of 9393 and 9400 = 88294200
Step 1: Find the prime factorization of 9393
9393 = 3 x 31 x 101
Step 2: Find the prime factorization of 9400
9400 = 2 x 2 x 2 x 5 x 5 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88294200 = 2 x 2 x 2 x 3 x 5 x 5 x 31 x 47 x 101
Step 4: Therefore, the least common multiple of 9393 and 9400 is 88294200.