Least Common Multiple of 123 and 124
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 124 the smallest integer that is 15252 that is divisible by both numbers.
Least Common Multiple (LCM) of 123 and 124 is 15252.
LCM(123,124) = 15252
LCM of 123 and 124
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 123 and 124 by Prime method
- Least Common Multiple of 123 and 124 with GCF Formula
LCM of 123 and 124 is 15252
Least common multiple can be found by multiplying the highest exponent prime factors of 123 and 124. First we will calculate the prime factors of 123 and 124.
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 124
| 2 | 124 |
| 2 | 62 |
| 31 | 31 |
| 1 |
Prime factors of 124 are 2,31. Prime factorization of 124 in exponential form is:
124 = 22×311
Now multiplying the highest exponent prime factors to calculate the LCM of 123 and 124.
LCM(123,124) = 22×31×311×411
LCM(123,124) = 15252
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Least Common Multiple of 123 and 124 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 124, than apply into the LCM equation.
GCF(123,124) = 1
LCM(123,124) = ( 123 × 124) / 1
LCM(123,124) = 15252 / 1
LCM(123,124) = 15252
Properties of LCM 123 and 124
(i) The LCM of 124 and 123 is associative
LCM of 123 and 124 = LCM of 124 and 123
Related Least Common Multiples of 123
Related Least Common Multiples of 124
Frequently Asked Questions on LCM of 123 and 124
1. What is the LCM of 123 and 124?
Answer: LCM of 123 and 124 is 15252.
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 124?
Answer: Factors of 124 are 1, 2, 4, 31, 62, 124. There are 6 integers that are factors of 124. The greatest factor of 124 is 124.
4. How to Find the LCM of 123 and 124?
Answer:
Least Common Multiple of 123 and 124 = 15252
Step 1: Find the prime factorization of 123
123 = 3 x 41
Step 2: Find the prime factorization of 124
124 = 2 x 2 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15252 = 2 x 2 x 3 x 31 x 41
Step 4: Therefore, the least common multiple of 123 and 124 is 15252.
