Least Common Multiple of 91 and 98
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 91 and 98 the smallest integer that is 1274 that is divisible by both numbers.
Least Common Multiple (LCM) of 91 and 98 is 1274.
LCM(91,98) = 1274
LCM of 91 and 98
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 91 and 98 by Prime method
- Least Common Multiple of 91 and 98 with GCF Formula
LCM of 91 and 98 is 1274
Least common multiple can be found by multiplying the highest exponent prime factors of 91 and 98. First we will calculate the prime factors of 91 and 98.
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
Prime Factorization of 98
| 2 | 98 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 98 are 2,7. Prime factorization of 98 in exponential form is:
98 = 21×72
Now multiplying the highest exponent prime factors to calculate the LCM of 91 and 98.
LCM(91,98) = 21×72×131
LCM(91,98) = 1274
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Least Common Multiple of 91 and 98 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91 and 98, than apply into the LCM equation.
GCF(91,98) = 7
LCM(91,98) = ( 91 × 98) / 7
LCM(91,98) = 8918 / 7
LCM(91,98) = 1274
Properties of LCM 91 and 98
(i) The LCM of 98 and 91 is associative
LCM of 91 and 98 = LCM of 98 and 91
Related Least Common Multiples of 91
Related Least Common Multiples of 98
Frequently Asked Questions on LCM of 91 and 98
1. What is the LCM of 91 and 98?
Answer: LCM of 91 and 98 is 1274.
2. 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.
3. What are the Factors of 98?
Answer: Factors of 98 are 1, 2, 7, 14, 49, 98. There are 6 integers that are factors of 98. The greatest factor of 98 is 98.
4. How to Find the LCM of 91 and 98?
Answer:
Least Common Multiple of 91 and 98 = 1274
Step 1: Find the prime factorization of 91
91 = 7 x 13
Step 2: Find the prime factorization of 98
98 = 2 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1274 = 2 x 7 x 7 x 13
Step 4: Therefore, the least common multiple of 91 and 98 is 1274.