Least Common Multiple of 298 and 302
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 302 the smallest integer that is 44998 that is divisible by both numbers.
Least Common Multiple (LCM) of 298 and 302 is 44998.
LCM(298,302) = 44998
LCM of 298 and 302
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 298 and 302 by Prime method
- Least Common Multiple of 298 and 302 with GCF Formula
LCM of 298 and 302 is 44998
Least common multiple can be found by multiplying the highest exponent prime factors of 298 and 302. First we will calculate the prime factors of 298 and 302.
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 302
| 2 | 302 |
| 151 | 151 |
| 1 |
Prime factors of 302 are 2,151. Prime factorization of 302 in exponential form is:
302 = 21×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 298 and 302.
LCM(298,302) = 21×1491×1511
LCM(298,302) = 44998
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Least Common Multiple of 298 and 302 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 302, than apply into the LCM equation.
GCF(298,302) = 2
LCM(298,302) = ( 298 × 302) / 2
LCM(298,302) = 89996 / 2
LCM(298,302) = 44998
Properties of LCM 298 and 302
(i) The LCM of 302 and 298 is associative
LCM of 298 and 302 = LCM of 302 and 298
Related Least Common Multiples of 298
Related Least Common Multiples of 302
Frequently Asked Questions on LCM of 298 and 302
1. What is the LCM of 298 and 302?
Answer: LCM of 298 and 302 is 44998.
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 302?
Answer: Factors of 302 are 1, 2, 151, 302. There are 4 integers that are factors of 302. The greatest factor of 302 is 302.
4. How to Find the LCM of 298 and 302?
Answer:
Least Common Multiple of 298 and 302 = 44998
Step 1: Find the prime factorization of 298
298 = 2 x 149
Step 2: Find the prime factorization of 302
302 = 2 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44998 = 2 x 149 x 151
Step 4: Therefore, the least common multiple of 298 and 302 is 44998.
