Least Common Multiple of 122 and 123
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 122 and 123 the smallest integer that is 15006 that is divisible by both numbers.
Least Common Multiple (LCM) of 122 and 123 is 15006.
LCM(122,123) = 15006
LCM of 122 and 123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 122 and 123 by Prime method
- Least Common Multiple of 122 and 123 with GCF Formula
LCM of 122 and 123 is 15006
Least common multiple can be found by multiplying the highest exponent prime factors of 122 and 123. First we will calculate the prime factors of 122 and 123.
Prime Factorization of 122
| 2 | 122 |
| 61 | 61 |
| 1 |
Prime factors of 122 are 2,61. Prime factorization of 122 in exponential form is:
122 = 21×611
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
Now multiplying the highest exponent prime factors to calculate the LCM of 122 and 123.
LCM(122,123) = 21×31×411×611
LCM(122,123) = 15006
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Least Common Multiple of 122 and 123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 122 and 123, than apply into the LCM equation.
GCF(122,123) = 1
LCM(122,123) = ( 122 × 123) / 1
LCM(122,123) = 15006 / 1
LCM(122,123) = 15006
Properties of LCM 122 and 123
(i) The LCM of 123 and 122 is associative
LCM of 122 and 123 = LCM of 123 and 122
Related Least Common Multiples of 122
Related Least Common Multiples of 123
Frequently Asked Questions on LCM of 122 and 123
1. What is the LCM of 122 and 123?
Answer: LCM of 122 and 123 is 15006.
2. What are the Factors of 122?
Answer: Factors of 122 are 1, 2, 61, 122. There are 4 integers that are factors of 122. The greatest factor of 122 is 122.
3. 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.
4. How to Find the LCM of 122 and 123?
Answer:
Least Common Multiple of 122 and 123 = 15006
Step 1: Find the prime factorization of 122
122 = 2 x 61
Step 2: Find the prime factorization of 123
123 = 3 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15006 = 2 x 3 x 41 x 61
Step 4: Therefore, the least common multiple of 122 and 123 is 15006.
