Least Common Multiple of 103 and 109
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 109 the smallest integer that is 11227 that is divisible by both numbers.
Least Common Multiple (LCM) of 103 and 109 is 11227.
LCM(103,109) = 11227
LCM of 103 and 109
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 103 and 109 by Prime method
- Least Common Multiple of 103 and 109 with GCF Formula
LCM of 103 and 109 is 11227
Least common multiple can be found by multiplying the highest exponent prime factors of 103 and 109. First we will calculate the prime factors of 103 and 109.
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 109
| 109 | 109 |
| 1 |
Prime factors of 109 are 109. Prime factorization of 109 in exponential form is:
109 = 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 103 and 109.
LCM(103,109) = 1031×1091
LCM(103,109) = 11227
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1, 103
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1, 109
Least Common Multiple of 103 and 109 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 109, than apply into the LCM equation.
GCF(103,109) = 1
LCM(103,109) = ( 103 × 109) / 1
LCM(103,109) = 11227 / 1
LCM(103,109) = 11227
Properties of LCM 103 and 109
(i) The LCM of 109 and 103 is associative
LCM of 103 and 109 = LCM of 109 and 103
Related Least Common Multiples of 103
Related Least Common Multiples of 109
Frequently Asked Questions on LCM of 103 and 109
1. What is the LCM of 103 and 109?
Answer: LCM of 103 and 109 is 11227.
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 109?
Answer: Factors of 109 are 1, 109. There are 2 integers that are factors of 109. The greatest factor of 109 is 109.
4. How to Find the LCM of 103 and 109?
Answer:
Least Common Multiple of 103 and 109 = 11227
Step 1: Find the prime factorization of 103
103 = 103
Step 2: Find the prime factorization of 109
109 = 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11227 = 103 x 109
Step 4: Therefore, the least common multiple of 103 and 109 is 11227.
