Least Common Multiple of 123 and 127
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 127 the smallest integer that is 15621 that is divisible by both numbers.
Least Common Multiple (LCM) of 123 and 127 is 15621.
LCM(123,127) = 15621
LCM of 123 and 127
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 123 and 127 by Prime method
- Least Common Multiple of 123 and 127 with GCF Formula
LCM of 123 and 127 is 15621
Least common multiple can be found by multiplying the highest exponent prime factors of 123 and 127. First we will calculate the prime factors of 123 and 127.
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 127
| 127 | 127 |
| 1 |
Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:
127 = 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 123 and 127.
LCM(123,127) = 31×411×1271
LCM(123,127) = 15621
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1, 127
Least Common Multiple of 123 and 127 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 127, than apply into the LCM equation.
GCF(123,127) = 1
LCM(123,127) = ( 123 × 127) / 1
LCM(123,127) = 15621 / 1
LCM(123,127) = 15621
Properties of LCM 123 and 127
(i) The LCM of 127 and 123 is associative
LCM of 123 and 127 = LCM of 127 and 123
Related Least Common Multiples of 123
Related Least Common Multiples of 127
Frequently Asked Questions on LCM of 123 and 127
1. What is the LCM of 123 and 127?
Answer: LCM of 123 and 127 is 15621.
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 127?
Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.
4. How to Find the LCM of 123 and 127?
Answer:
Least Common Multiple of 123 and 127 = 15621
Step 1: Find the prime factorization of 123
123 = 3 x 41
Step 2: Find the prime factorization of 127
127 = 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15621 = 3 x 41 x 127
Step 4: Therefore, the least common multiple of 123 and 127 is 15621.