Least Common Multiple of 9071 and 9079
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9071 and 9079 the smallest integer that is 82355609 that is divisible by both numbers.
Least Common Multiple (LCM) of 9071 and 9079 is 82355609.
LCM(9071,9079) = 82355609
LCM of 9071 and 9079
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9071 and 9079 by Prime method
- Least Common Multiple of 9071 and 9079 with GCF Formula
LCM of 9071 and 9079 is 82355609
Least common multiple can be found by multiplying the highest exponent prime factors of 9071 and 9079. First we will calculate the prime factors of 9071 and 9079.
Prime Factorization of 9071
| 47 | 9071 |
| 193 | 193 |
| 1 |
Prime factors of 9071 are 47,193. Prime factorization of 9071 in exponential form is:
9071 = 471×1931
Prime Factorization of 9079
| 7 | 9079 |
| 1297 | 1297 |
| 1 |
Prime factors of 9079 are 7,1297. Prime factorization of 9079 in exponential form is:
9079 = 71×12971
Now multiplying the highest exponent prime factors to calculate the LCM of 9071 and 9079.
LCM(9071,9079) = 71×471×1931×12971
LCM(9071,9079) = 82355609
Factors of 9071
List of positive integer factors of 9071 that divides 9071 without a remainder.
1, 47, 193, 9071
Factors of 9079
List of positive integer factors of 9079 that divides 9079 without a remainder.
1, 7, 1297, 9079
Least Common Multiple of 9071 and 9079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9071 and 9079, than apply into the LCM equation.
GCF(9071,9079) = 1
LCM(9071,9079) = ( 9071 × 9079) / 1
LCM(9071,9079) = 82355609 / 1
LCM(9071,9079) = 82355609
Properties of LCM 9071 and 9079
(i) The LCM of 9079 and 9071 is associative
LCM of 9071 and 9079 = LCM of 9079 and 9071
Related Least Common Multiples of 9071
Related Least Common Multiples of 9079
Frequently Asked Questions on LCM of 9071 and 9079
1. What is the LCM of 9071 and 9079?
Answer: LCM of 9071 and 9079 is 82355609.
2. What are the Factors of 9071?
Answer: Factors of 9071 are 1, 47, 193, 9071. There are 4 integers that are factors of 9071. The greatest factor of 9071 is 9071.
3. What are the Factors of 9079?
Answer: Factors of 9079 are 1, 7, 1297, 9079. There are 4 integers that are factors of 9079. The greatest factor of 9079 is 9079.
4. How to Find the LCM of 9071 and 9079?
Answer:
Least Common Multiple of 9071 and 9079 = 82355609
Step 1: Find the prime factorization of 9071
9071 = 47 x 193
Step 2: Find the prime factorization of 9079
9079 = 7 x 1297
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82355609 = 7 x 47 x 193 x 1297
Step 4: Therefore, the least common multiple of 9071 and 9079 is 82355609.