Least Common Multiple of 291 and 298
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 291 and 298 the smallest integer that is 86718 that is divisible by both numbers.
Least Common Multiple (LCM) of 291 and 298 is 86718.
LCM(291,298) = 86718
LCM of 291 and 298
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 291 and 298 by Prime method
- Least Common Multiple of 291 and 298 with GCF Formula
LCM of 291 and 298 is 86718
Least common multiple can be found by multiplying the highest exponent prime factors of 291 and 298. First we will calculate the prime factors of 291 and 298.
Prime Factorization of 291
| 3 | 291 |
| 97 | 97 |
| 1 |
Prime factors of 291 are 3,97. Prime factorization of 291 in exponential form is:
291 = 31×971
Prime Factorization of 298
| 2 | 298 |
| 149 | 149 |
| 1 |
Prime factors of 298 are 2,149. Prime factorization of 298 in exponential form is:
298 = 21×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 291 and 298.
LCM(291,298) = 21×31×971×1491
LCM(291,298) = 86718
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Least Common Multiple of 291 and 298 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 291 and 298, than apply into the LCM equation.
GCF(291,298) = 1
LCM(291,298) = ( 291 × 298) / 1
LCM(291,298) = 86718 / 1
LCM(291,298) = 86718
Properties of LCM 291 and 298
(i) The LCM of 298 and 291 is associative
LCM of 291 and 298 = LCM of 298 and 291
Related Least Common Multiples of 291
Related Least Common Multiples of 298
Frequently Asked Questions on LCM of 291 and 298
1. What is the LCM of 291 and 298?
Answer: LCM of 291 and 298 is 86718.
2. What are the Factors of 291?
Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.
3. What are the Factors of 298?
Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.
4. How to Find the LCM of 291 and 298?
Answer:
Least Common Multiple of 291 and 298 = 86718
Step 1: Find the prime factorization of 291
291 = 3 x 97
Step 2: Find the prime factorization of 298
298 = 2 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86718 = 2 x 3 x 97 x 149
Step 4: Therefore, the least common multiple of 291 and 298 is 86718.
