Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9194 and 9197 the smallest integer that is 84557218 that is divisible by both numbers.
Least Common Multiple (LCM) of 9194 and 9197 is 84557218.
LCM(9194,9197) = 84557218
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 9194 and 9197. First we will calculate the prime factors of 9194 and 9197.
Prime Factorization of 9194
2 | 9194 |
4597 | 4597 |
1 |
Prime factors of 9194 are 2,4597. Prime factorization of 9194 in exponential form is:
9194 = 21×45971
Prime Factorization of 9197
17 | 9197 |
541 | 541 |
1 |
Prime factors of 9197 are 17,541. Prime factorization of 9197 in exponential form is:
9197 = 171×5411
Now multiplying the highest exponent prime factors to calculate the LCM of 9194 and 9197.
LCM(9194,9197) = 21×171×5411×45971
LCM(9194,9197) = 84557218
Factors of 9194
List of positive integer factors of 9194 that divides 9194 without a remainder.
1, 2, 4597, 9194
Factors of 9197
List of positive integer factors of 9197 that divides 9197 without a remainder.
1, 17, 541, 9197
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9194 and 9197, than apply into the LCM equation.
GCF(9194,9197) = 1
LCM(9194,9197) = ( 9194 × 9197) / 1
LCM(9194,9197) = 84557218 / 1
LCM(9194,9197) = 84557218
(i) The LCM of 9197 and 9194 is associative
LCM of 9194 and 9197 = LCM of 9197 and 9194
1. What is the LCM of 9194 and 9197?
Answer: LCM of 9194 and 9197 is 84557218.
2. What are the Factors of 9194?
Answer: Factors of 9194 are 1, 2, 4597, 9194. There are 4 integers that are factors of 9194. The greatest factor of 9194 is 9194.
3. What are the Factors of 9197?
Answer: Factors of 9197 are 1, 17, 541, 9197. There are 4 integers that are factors of 9197. The greatest factor of 9197 is 9197.
4. How to Find the LCM of 9194 and 9197?
Answer:
Least Common Multiple of 9194 and 9197 = 84557218
Step 1: Find the prime factorization of 9194
9194 = 2 x 4597
Step 2: Find the prime factorization of 9197
9197 = 17 x 541
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84557218 = 2 x 17 x 541 x 4597
Step 4: Therefore, the least common multiple of 9194 and 9197 is 84557218.