Least Common Multiple of 6102 and 6103
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6102 and 6103 the smallest integer that is 37240506 that is divisible by both numbers.
Least Common Multiple (LCM) of 6102 and 6103 is 37240506.
LCM(6102,6103) = 37240506
LCM of 6102 and 6103
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6102 and 6103 by Prime method
- Least Common Multiple of 6102 and 6103 with GCF Formula
LCM of 6102 and 6103 is 37240506
Least common multiple can be found by multiplying the highest exponent prime factors of 6102 and 6103. First we will calculate the prime factors of 6102 and 6103.
Prime Factorization of 6102
| 2 | 6102 |
| 3 | 3051 |
| 3 | 1017 |
| 3 | 339 |
| 113 | 113 |
| 1 |
Prime factors of 6102 are 2, 3,113. Prime factorization of 6102 in exponential form is:
6102 = 21×33×1131
Prime Factorization of 6103
| 17 | 6103 |
| 359 | 359 |
| 1 |
Prime factors of 6103 are 17,359. Prime factorization of 6103 in exponential form is:
6103 = 171×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 6102 and 6103.
LCM(6102,6103) = 21×33×171×1131×3591
LCM(6102,6103) = 37240506
Factors of 6102
List of positive integer factors of 6102 that divides 6102 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 113, 226, 339, 678, 1017, 2034, 3051, 6102
Factors of 6103
List of positive integer factors of 6103 that divides 6103 without a remainder.
1, 17, 359, 6103
Least Common Multiple of 6102 and 6103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6102 and 6103, than apply into the LCM equation.
GCF(6102,6103) = 1
LCM(6102,6103) = ( 6102 × 6103) / 1
LCM(6102,6103) = 37240506 / 1
LCM(6102,6103) = 37240506
Properties of LCM 6102 and 6103
(i) The LCM of 6103 and 6102 is associative
LCM of 6102 and 6103 = LCM of 6103 and 6102
Related Least Common Multiples of 6102
Related Least Common Multiples of 6103
Frequently Asked Questions on LCM of 6102 and 6103
1. What is the LCM of 6102 and 6103?
Answer: LCM of 6102 and 6103 is 37240506.
2. What are the Factors of 6102?
Answer: Factors of 6102 are 1, 2, 3, 6, 9, 18, 27, 54, 113, 226, 339, 678, 1017, 2034, 3051, 6102. There are 16 integers that are factors of 6102. The greatest factor of 6102 is 6102.
3. What are the Factors of 6103?
Answer: Factors of 6103 are 1, 17, 359, 6103. There are 4 integers that are factors of 6103. The greatest factor of 6103 is 6103.
4. How to Find the LCM of 6102 and 6103?
Answer:
Least Common Multiple of 6102 and 6103 = 37240506
Step 1: Find the prime factorization of 6102
6102 = 2 x 3 x 3 x 3 x 113
Step 2: Find the prime factorization of 6103
6103 = 17 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37240506 = 2 x 3 x 3 x 3 x 17 x 113 x 359
Step 4: Therefore, the least common multiple of 6102 and 6103 is 37240506.