Least Common Multiple of 103 and 106
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 106 the smallest integer that is 10918 that is divisible by both numbers.
Least Common Multiple (LCM) of 103 and 106 is 10918.
LCM(103,106) = 10918
LCM of 103 and 106
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 103 and 106 by Prime method
- Least Common Multiple of 103 and 106 with GCF Formula
LCM of 103 and 106 is 10918
Least common multiple can be found by multiplying the highest exponent prime factors of 103 and 106. First we will calculate the prime factors of 103 and 106.
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 106
| 2 | 106 |
| 53 | 53 |
| 1 |
Prime factors of 106 are 2,53. Prime factorization of 106 in exponential form is:
106 = 21×531
Now multiplying the highest exponent prime factors to calculate the LCM of 103 and 106.
LCM(103,106) = 21×531×1031
LCM(103,106) = 10918
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1, 103
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Least Common Multiple of 103 and 106 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 106, than apply into the LCM equation.
GCF(103,106) = 1
LCM(103,106) = ( 103 × 106) / 1
LCM(103,106) = 10918 / 1
LCM(103,106) = 10918
Properties of LCM 103 and 106
(i) The LCM of 106 and 103 is associative
LCM of 103 and 106 = LCM of 106 and 103
Related Least Common Multiples of 103
Related Least Common Multiples of 106
Frequently Asked Questions on LCM of 103 and 106
1. What is the LCM of 103 and 106?
Answer: LCM of 103 and 106 is 10918.
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 106?
Answer: Factors of 106 are 1, 2, 53, 106. There are 4 integers that are factors of 106. The greatest factor of 106 is 106.
4. How to Find the LCM of 103 and 106?
Answer:
Least Common Multiple of 103 and 106 = 10918
Step 1: Find the prime factorization of 103
103 = 103
Step 2: Find the prime factorization of 106
106 = 2 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10918 = 2 x 53 x 103
Step 4: Therefore, the least common multiple of 103 and 106 is 10918.
