Least Common Multiple of 303 and 310
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 303 and 310 the smallest integer that is 93930 that is divisible by both numbers.
Least Common Multiple (LCM) of 303 and 310 is 93930.
LCM(303,310) = 93930
LCM of 303 and 310
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 303 and 310 by Prime method
- Least Common Multiple of 303 and 310 with GCF Formula
LCM of 303 and 310 is 93930
Least common multiple can be found by multiplying the highest exponent prime factors of 303 and 310. First we will calculate the prime factors of 303 and 310.
Prime Factorization of 303
| 3 | 303 |
| 101 | 101 |
| 1 |
Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:
303 = 31×1011
Prime Factorization of 310
| 2 | 310 |
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 310 are 2, 5,31. Prime factorization of 310 in exponential form is:
310 = 21×51×311
Now multiplying the highest exponent prime factors to calculate the LCM of 303 and 310.
LCM(303,310) = 21×31×51×311×1011
LCM(303,310) = 93930
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Least Common Multiple of 303 and 310 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 303 and 310, than apply into the LCM equation.
GCF(303,310) = 1
LCM(303,310) = ( 303 × 310) / 1
LCM(303,310) = 93930 / 1
LCM(303,310) = 93930
Properties of LCM 303 and 310
(i) The LCM of 310 and 303 is associative
LCM of 303 and 310 = LCM of 310 and 303
Related Least Common Multiples of 303
Related Least Common Multiples of 310
Frequently Asked Questions on LCM of 303 and 310
1. What is the LCM of 303 and 310?
Answer: LCM of 303 and 310 is 93930.
2. What are the Factors of 303?
Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.
3. What are the Factors of 310?
Answer: Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. There are 8 integers that are factors of 310. The greatest factor of 310 is 310.
4. How to Find the LCM of 303 and 310?
Answer:
Least Common Multiple of 303 and 310 = 93930
Step 1: Find the prime factorization of 303
303 = 3 x 101
Step 2: Find the prime factorization of 310
310 = 2 x 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93930 = 2 x 3 x 5 x 31 x 101
Step 4: Therefore, the least common multiple of 303 and 310 is 93930.