Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3103 and 3110 the smallest integer that is 9650330 that is divisible by both numbers.
Least Common Multiple (LCM) of 3103 and 3110 is 9650330.
LCM(3103,3110) = 9650330
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 3103 and 3110. First we will calculate the prime factors of 3103 and 3110.
Prime Factorization of 3103
29 | 3103 |
107 | 107 |
1 |
Prime factors of 3103 are 29,107. Prime factorization of 3103 in exponential form is:
3103 = 291×1071
Prime Factorization of 3110
2 | 3110 |
5 | 1555 |
311 | 311 |
1 |
Prime factors of 3110 are 2, 5,311. Prime factorization of 3110 in exponential form is:
3110 = 21×51×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 3103 and 3110.
LCM(3103,3110) = 21×51×291×1071×3111
LCM(3103,3110) = 9650330
Factors of 3103
List of positive integer factors of 3103 that divides 3103 without a remainder.
1, 29, 107, 3103
Factors of 3110
List of positive integer factors of 3110 that divides 3110 without a remainder.
1, 2, 5, 10, 311, 622, 1555, 3110
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3103 and 3110, than apply into the LCM equation.
GCF(3103,3110) = 1
LCM(3103,3110) = ( 3103 × 3110) / 1
LCM(3103,3110) = 9650330 / 1
LCM(3103,3110) = 9650330
(i) The LCM of 3110 and 3103 is associative
LCM of 3103 and 3110 = LCM of 3110 and 3103
1. What is the LCM of 3103 and 3110?
Answer: LCM of 3103 and 3110 is 9650330.
2. What are the Factors of 3103?
Answer: Factors of 3103 are 1, 29, 107, 3103. There are 4 integers that are factors of 3103. The greatest factor of 3103 is 3103.
3. What are the Factors of 3110?
Answer: Factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110. There are 8 integers that are factors of 3110. The greatest factor of 3110 is 3110.
4. How to Find the LCM of 3103 and 3110?
Answer:
Least Common Multiple of 3103 and 3110 = 9650330
Step 1: Find the prime factorization of 3103
3103 = 29 x 107
Step 2: Find the prime factorization of 3110
3110 = 2 x 5 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9650330 = 2 x 5 x 29 x 107 x 311
Step 4: Therefore, the least common multiple of 3103 and 3110 is 9650330.