Least Common Multiple of 87 and 91
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 87 and 91 the smallest integer that is 7917 that is divisible by both numbers.
Least Common Multiple (LCM) of 87 and 91 is 7917.
LCM(87,91) = 7917
LCM of 87 and 91
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 87 and 91 by Prime method
- Least Common Multiple of 87 and 91 with GCF Formula
LCM of 87 and 91 is 7917
Least common multiple can be found by multiplying the highest exponent prime factors of 87 and 91. First we will calculate the prime factors of 87 and 91.
Prime Factorization of 87
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 87 are 3,29. Prime factorization of 87 in exponential form is:
87 = 31×291
Prime Factorization of 91
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 91 are 7,13. Prime factorization of 91 in exponential form is:
91 = 71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 87 and 91.
LCM(87,91) = 31×71×131×291
LCM(87,91) = 7917
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Least Common Multiple of 87 and 91 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87 and 91, than apply into the LCM equation.
GCF(87,91) = 1
LCM(87,91) = ( 87 × 91) / 1
LCM(87,91) = 7917 / 1
LCM(87,91) = 7917
Properties of LCM 87 and 91
(i) The LCM of 91 and 87 is associative
LCM of 87 and 91 = LCM of 91 and 87
Related Least Common Multiples of 87
Related Least Common Multiples of 91
Frequently Asked Questions on LCM of 87 and 91
1. What is the LCM of 87 and 91?
Answer: LCM of 87 and 91 is 7917.
2. What are the Factors of 87?
Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.
3. What are the Factors of 91?
Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.
4. How to Find the LCM of 87 and 91?
Answer:
Least Common Multiple of 87 and 91 = 7917
Step 1: Find the prime factorization of 87
87 = 3 x 29
Step 2: Find the prime factorization of 91
91 = 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7917 = 3 x 7 x 13 x 29
Step 4: Therefore, the least common multiple of 87 and 91 is 7917.