Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 295 and 298 the smallest integer that is 87910 that is divisible by both numbers.
Least Common Multiple (LCM) of 295 and 298 is 87910.
LCM(295,298) = 87910
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 295 and 298. First we will calculate the prime factors of 295 and 298.
Prime Factorization of 295
5 | 295 |
59 | 59 |
1 |
Prime factors of 295 are 5,59. Prime factorization of 295 in exponential form is:
295 = 51×591
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 295 and 298.
LCM(295,298) = 21×51×591×1491
LCM(295,298) = 87910
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1, 2, 149, 298
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 295 and 298, than apply into the LCM equation.
GCF(295,298) = 1
LCM(295,298) = ( 295 × 298) / 1
LCM(295,298) = 87910 / 1
LCM(295,298) = 87910
(i) The LCM of 298 and 295 is associative
LCM of 295 and 298 = LCM of 298 and 295
1. What is the LCM of 295 and 298?
Answer: LCM of 295 and 298 is 87910.
2. What are the Factors of 295?
Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.
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 295 and 298?
Answer:
Least Common Multiple of 295 and 298 = 87910
Step 1: Find the prime factorization of 295
295 = 5 x 59
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 = 87910 = 2 x 5 x 59 x 149
Step 4: Therefore, the least common multiple of 295 and 298 is 87910.