Least Common Multiple of 298 and 299
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 298 and 299 the smallest integer that is 89102 that is divisible by both numbers.
Least Common Multiple (LCM) of 298 and 299 is 89102.
LCM(298,299) = 89102
LCM of 298 and 299
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 298 and 299 by Prime method
- Least Common Multiple of 298 and 299 with GCF Formula
LCM of 298 and 299 is 89102
Least common multiple can be found by multiplying the highest exponent prime factors of 298 and 299. First we will calculate the prime factors of 298 and 299.
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
Prime Factorization of 299
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 299 are 13,23. Prime factorization of 299 in exponential form is:
299 = 131×231
Now multiplying the highest exponent prime factors to calculate the LCM of 298 and 299.
LCM(298,299) = 21×131×231×1491
LCM(298,299) = 89102
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Least Common Multiple of 298 and 299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 298 and 299, than apply into the LCM equation.
GCF(298,299) = 1
LCM(298,299) = ( 298 × 299) / 1
LCM(298,299) = 89102 / 1
LCM(298,299) = 89102
Properties of LCM 298 and 299
(i) The LCM of 299 and 298 is associative
LCM of 298 and 299 = LCM of 299 and 298
Related Least Common Multiples of 298
Related Least Common Multiples of 299
Frequently Asked Questions on LCM of 298 and 299
1. What is the LCM of 298 and 299?
Answer: LCM of 298 and 299 is 89102.
2. 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.
3. What are the Factors of 299?
Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.
4. How to Find the LCM of 298 and 299?
Answer:
Least Common Multiple of 298 and 299 = 89102
Step 1: Find the prime factorization of 298
298 = 2 x 149
Step 2: Find the prime factorization of 299
299 = 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89102 = 2 x 13 x 23 x 149
Step 4: Therefore, the least common multiple of 298 and 299 is 89102.
