Least Common Multiple of 103 and 110
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 103 and 110 the smallest integer that is 11330 that is divisible by both numbers.
Least Common Multiple (LCM) of 103 and 110 is 11330.
LCM(103,110) = 11330
LCM of 103 and 110
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 103 and 110 by Prime method
- Least Common Multiple of 103 and 110 with GCF Formula
LCM of 103 and 110 is 11330
Least common multiple can be found by multiplying the highest exponent prime factors of 103 and 110. First we will calculate the prime factors of 103 and 110.
Prime Factorization of 103
| 103 | 103 |
| 1 |
Prime factors of 103 are 103. Prime factorization of 103 in exponential form is:
103 = 1031
Prime Factorization of 110
| 2 | 110 |
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 110 are 2, 5,11. Prime factorization of 110 in exponential form is:
110 = 21×51×111
Now multiplying the highest exponent prime factors to calculate the LCM of 103 and 110.
LCM(103,110) = 21×51×111×1031
LCM(103,110) = 11330
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1, 103
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Least Common Multiple of 103 and 110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 103 and 110, than apply into the LCM equation.
GCF(103,110) = 1
LCM(103,110) = ( 103 × 110) / 1
LCM(103,110) = 11330 / 1
LCM(103,110) = 11330
Properties of LCM 103 and 110
(i) The LCM of 110 and 103 is associative
LCM of 103 and 110 = LCM of 110 and 103
Related Least Common Multiples of 103
Related Least Common Multiples of 110
Frequently Asked Questions on LCM of 103 and 110
1. What is the LCM of 103 and 110?
Answer: LCM of 103 and 110 is 11330.
2. What are the Factors of 103?
Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.
3. What are the Factors of 110?
Answer: Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. There are 8 integers that are factors of 110. The greatest factor of 110 is 110.
4. How to Find the LCM of 103 and 110?
Answer:
Least Common Multiple of 103 and 110 = 11330
Step 1: Find the prime factorization of 103
103 = 103
Step 2: Find the prime factorization of 110
110 = 2 x 5 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11330 = 2 x 5 x 11 x 103
Step 4: Therefore, the least common multiple of 103 and 110 is 11330.
