Least Common Multiple of 295 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 295 and 302 the smallest integer that is 89090 that is divisible by both numbers.
Least Common Multiple (LCM) of 295 and 302 is 89090.
LCM(295,302) = 89090
LCM of 295 and 302
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 295 and 302 by Prime method
- Least Common Multiple of 295 and 302 with GCF Formula
LCM of 295 and 302 is 89090
Least common multiple can be found by multiplying the highest exponent prime factors of 295 and 302. First we will calculate the prime factors of 295 and 302.
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 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 295 and 302.
LCM(295,302) = 21×51×591×1511
LCM(295,302) = 89090
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Least Common Multiple of 295 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 295 and 302, than apply into the LCM equation.
GCF(295,302) = 1
LCM(295,302) = ( 295 × 302) / 1
LCM(295,302) = 89090 / 1
LCM(295,302) = 89090
Properties of LCM 295 and 302
(i) The LCM of 302 and 295 is associative
LCM of 295 and 302 = LCM of 302 and 295
Related Least Common Multiples of 295
Related Least Common Multiples of 302
Frequently Asked Questions on LCM of 295 and 302
1. What is the LCM of 295 and 302?
Answer: LCM of 295 and 302 is 89090.
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 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 295 and 302?
Answer:
Least Common Multiple of 295 and 302 = 89090
Step 1: Find the prime factorization of 295
295 = 5 x 59
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 = 89090 = 2 x 5 x 59 x 151
Step 4: Therefore, the least common multiple of 295 and 302 is 89090.