Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9171 and 9179 the smallest integer that is 84180609 that is divisible by both numbers.
Least Common Multiple (LCM) of 9171 and 9179 is 84180609.
LCM(9171,9179) = 84180609
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 9171 and 9179. First we will calculate the prime factors of 9171 and 9179.
Prime Factorization of 9171
3 | 9171 |
3 | 3057 |
1019 | 1019 |
1 |
Prime factors of 9171 are 3,1019. Prime factorization of 9171 in exponential form is:
9171 = 32×10191
Prime Factorization of 9179
67 | 9179 |
137 | 137 |
1 |
Prime factors of 9179 are 67,137. Prime factorization of 9179 in exponential form is:
9179 = 671×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 9171 and 9179.
LCM(9171,9179) = 32×671×1371×10191
LCM(9171,9179) = 84180609
Factors of 9171
List of positive integer factors of 9171 that divides 9171 without a remainder.
1, 3, 9, 1019, 3057, 9171
Factors of 9179
List of positive integer factors of 9179 that divides 9179 without a remainder.
1, 67, 137, 9179
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9171 and 9179, than apply into the LCM equation.
GCF(9171,9179) = 1
LCM(9171,9179) = ( 9171 × 9179) / 1
LCM(9171,9179) = 84180609 / 1
LCM(9171,9179) = 84180609
(i) The LCM of 9179 and 9171 is associative
LCM of 9171 and 9179 = LCM of 9179 and 9171
1. What is the LCM of 9171 and 9179?
Answer: LCM of 9171 and 9179 is 84180609.
2. What are the Factors of 9171?
Answer: Factors of 9171 are 1, 3, 9, 1019, 3057, 9171. There are 6 integers that are factors of 9171. The greatest factor of 9171 is 9171.
3. What are the Factors of 9179?
Answer: Factors of 9179 are 1, 67, 137, 9179. There are 4 integers that are factors of 9179. The greatest factor of 9179 is 9179.
4. How to Find the LCM of 9171 and 9179?
Answer:
Least Common Multiple of 9171 and 9179 = 84180609
Step 1: Find the prime factorization of 9171
9171 = 3 x 3 x 1019
Step 2: Find the prime factorization of 9179
9179 = 67 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84180609 = 3 x 3 x 67 x 137 x 1019
Step 4: Therefore, the least common multiple of 9171 and 9179 is 84180609.