Least Common Multiple of 6123 and 6125
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6123 and 6125 the smallest integer that is 37503375 that is divisible by both numbers.
Least Common Multiple (LCM) of 6123 and 6125 is 37503375.
LCM(6123,6125) = 37503375
LCM of 6123 and 6125
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6123 and 6125 by Prime method
- Least Common Multiple of 6123 and 6125 with GCF Formula
LCM of 6123 and 6125 is 37503375
Least common multiple can be found by multiplying the highest exponent prime factors of 6123 and 6125. First we will calculate the prime factors of 6123 and 6125.
Prime Factorization of 6123
| 3 | 6123 |
| 13 | 2041 |
| 157 | 157 |
| 1 |
Prime factors of 6123 are 3, 13,157. Prime factorization of 6123 in exponential form is:
6123 = 31×131×1571
Prime Factorization of 6125
| 5 | 6125 |
| 5 | 1225 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 6125 are 5,7. Prime factorization of 6125 in exponential form is:
6125 = 53×72
Now multiplying the highest exponent prime factors to calculate the LCM of 6123 and 6125.
LCM(6123,6125) = 31×53×72×131×1571
LCM(6123,6125) = 37503375
Factors of 6123
List of positive integer factors of 6123 that divides 6123 without a remainder.
1, 3, 13, 39, 157, 471, 2041, 6123
Factors of 6125
List of positive integer factors of 6125 that divides 6125 without a remainder.
1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
Least Common Multiple of 6123 and 6125 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6123 and 6125, than apply into the LCM equation.
GCF(6123,6125) = 1
LCM(6123,6125) = ( 6123 × 6125) / 1
LCM(6123,6125) = 37503375 / 1
LCM(6123,6125) = 37503375
Properties of LCM 6123 and 6125
(i) The LCM of 6125 and 6123 is associative
LCM of 6123 and 6125 = LCM of 6125 and 6123
Related Least Common Multiples of 6123
Related Least Common Multiples of 6125
Frequently Asked Questions on LCM of 6123 and 6125
1. What is the LCM of 6123 and 6125?
Answer: LCM of 6123 and 6125 is 37503375.
2. What are the Factors of 6123?
Answer: Factors of 6123 are 1, 3, 13, 39, 157, 471, 2041, 6123. There are 8 integers that are factors of 6123. The greatest factor of 6123 is 6123.
3. What are the Factors of 6125?
Answer: Factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125. There are 12 integers that are factors of 6125. The greatest factor of 6125 is 6125.
4. How to Find the LCM of 6123 and 6125?
Answer:
Least Common Multiple of 6123 and 6125 = 37503375
Step 1: Find the prime factorization of 6123
6123 = 3 x 13 x 157
Step 2: Find the prime factorization of 6125
6125 = 5 x 5 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37503375 = 3 x 5 x 5 x 5 x 7 x 7 x 13 x 157
Step 4: Therefore, the least common multiple of 6123 and 6125 is 37503375.