Least Common Multiple of 85 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 85 and 91 the smallest integer that is 7735 that is divisible by both numbers.
Least Common Multiple (LCM) of 85 and 91 is 7735.
LCM(85,91) = 7735
LCM of 85 and 91
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 85 and 91 by Prime method
- Least Common Multiple of 85 and 91 with GCF Formula
LCM of 85 and 91 is 7735
Least common multiple can be found by multiplying the highest exponent prime factors of 85 and 91. First we will calculate the prime factors of 85 and 91.
Prime Factorization of 85
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 85 are 5,17. Prime factorization of 85 in exponential form is:
85 = 51×171
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 85 and 91.
LCM(85,91) = 51×71×131×171
LCM(85,91) = 7735
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Least Common Multiple of 85 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 85 and 91, than apply into the LCM equation.
GCF(85,91) = 1
LCM(85,91) = ( 85 × 91) / 1
LCM(85,91) = 7735 / 1
LCM(85,91) = 7735
Properties of LCM 85 and 91
(i) The LCM of 91 and 85 is associative
LCM of 85 and 91 = LCM of 91 and 85
Related Least Common Multiples of 85
Related Least Common Multiples of 91
Frequently Asked Questions on LCM of 85 and 91
1. What is the LCM of 85 and 91?
Answer: LCM of 85 and 91 is 7735.
2. What are the Factors of 85?
Answer: Factors of 85 are 1, 5, 17, 85. There are 4 integers that are factors of 85. The greatest factor of 85 is 85.
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 85 and 91?
Answer:
Least Common Multiple of 85 and 91 = 7735
Step 1: Find the prime factorization of 85
85 = 5 x 17
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 = 7735 = 5 x 7 x 13 x 17
Step 4: Therefore, the least common multiple of 85 and 91 is 7735.
