Least Common Multiple of 119 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 119 and 123 the smallest integer that is 14637 that is divisible by both numbers.
Least Common Multiple (LCM) of 119 and 123 is 14637.
LCM(119,123) = 14637
LCM of 119 and 123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 119 and 123 by Prime method
- Least Common Multiple of 119 and 123 with GCF Formula
LCM of 119 and 123 is 14637
Least common multiple can be found by multiplying the highest exponent prime factors of 119 and 123. First we will calculate the prime factors of 119 and 123.
Prime Factorization of 119
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 119 are 7,17. Prime factorization of 119 in exponential form is:
119 = 71×171
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 119 and 123.
LCM(119,123) = 31×71×171×411
LCM(119,123) = 14637
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Least Common Multiple of 119 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 119 and 123, than apply into the LCM equation.
GCF(119,123) = 1
LCM(119,123) = ( 119 × 123) / 1
LCM(119,123) = 14637 / 1
LCM(119,123) = 14637
Properties of LCM 119 and 123
(i) The LCM of 123 and 119 is associative
LCM of 119 and 123 = LCM of 123 and 119
Related Least Common Multiples of 119
Related Least Common Multiples of 123
Frequently Asked Questions on LCM of 119 and 123
1. What is the LCM of 119 and 123?
Answer: LCM of 119 and 123 is 14637.
2. What are the Factors of 119?
Answer: Factors of 119 are 1, 7, 17, 119. There are 4 integers that are factors of 119. The greatest factor of 119 is 119.
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 119 and 123?
Answer:
Least Common Multiple of 119 and 123 = 14637
Step 1: Find the prime factorization of 119
119 = 7 x 17
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 = 14637 = 3 x 7 x 17 x 41
Step 4: Therefore, the least common multiple of 119 and 123 is 14637.
