Least Common Multiple of 123 and 125
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 123 and 125 the smallest integer that is 15375 that is divisible by both numbers.
Least Common Multiple (LCM) of 123 and 125 is 15375.
LCM(123,125) = 15375
LCM of 123 and 125
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 123 and 125 by Prime method
- Least Common Multiple of 123 and 125 with GCF Formula
LCM of 123 and 125 is 15375
Least common multiple can be found by multiplying the highest exponent prime factors of 123 and 125. First we will calculate the prime factors of 123 and 125.
Prime Factorization of 123
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 123 are 3,41. Prime factorization of 123 in exponential form is:
123 = 31×411
Prime Factorization of 125
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:
125 = 53
Now multiplying the highest exponent prime factors to calculate the LCM of 123 and 125.
LCM(123,125) = 31×53×411
LCM(123,125) = 15375
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Least Common Multiple of 123 and 125 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 123 and 125, than apply into the LCM equation.
GCF(123,125) = 1
LCM(123,125) = ( 123 × 125) / 1
LCM(123,125) = 15375 / 1
LCM(123,125) = 15375
Properties of LCM 123 and 125
(i) The LCM of 125 and 123 is associative
LCM of 123 and 125 = LCM of 125 and 123
Related Least Common Multiples of 123
Related Least Common Multiples of 125
Frequently Asked Questions on LCM of 123 and 125
1. What is the LCM of 123 and 125?
Answer: LCM of 123 and 125 is 15375.
2. What are the Factors of 123?
Answer: Factors of 123 are 1, 3, 41, 123. There are 4 integers that are factors of 123. The greatest factor of 123 is 123.
3. What are the Factors of 125?
Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.
4. How to Find the LCM of 123 and 125?
Answer:
Least Common Multiple of 123 and 125 = 15375
Step 1: Find the prime factorization of 123
123 = 3 x 41
Step 2: Find the prime factorization of 125
125 = 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15375 = 3 x 5 x 5 x 5 x 41
Step 4: Therefore, the least common multiple of 123 and 125 is 15375.