Least Common Multiple of 119 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 119 and 124 the smallest integer that is 14756 that is divisible by both numbers.
Least Common Multiple (LCM) of 119 and 124 is 14756.
LCM(119,124) = 14756
LCM of 119 and 124
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 119 and 124 by Prime method
- Least Common Multiple of 119 and 124 with GCF Formula
LCM of 119 and 124 is 14756
Least common multiple can be found by multiplying the highest exponent prime factors of 119 and 124. First we will calculate the prime factors of 119 and 124.
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 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 119 and 124.
LCM(119,124) = 22×71×171×311
LCM(119,124) = 14756
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1, 7, 17, 119
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 119 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 119 and 124, than apply into the LCM equation.
GCF(119,124) = 1
LCM(119,124) = ( 119 × 124) / 1
LCM(119,124) = 14756 / 1
LCM(119,124) = 14756
Properties of LCM 119 and 124
(i) The LCM of 124 and 119 is associative
LCM of 119 and 124 = LCM of 124 and 119
Related Least Common Multiples of 119
Related Least Common Multiples of 124
Frequently Asked Questions on LCM of 119 and 124
1. What is the LCM of 119 and 124?
Answer: LCM of 119 and 124 is 14756.
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 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 119 and 124?
Answer:
Least Common Multiple of 119 and 124 = 14756
Step 1: Find the prime factorization of 119
119 = 7 x 17
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 = 14756 = 2 x 2 x 7 x 17 x 31
Step 4: Therefore, the least common multiple of 119 and 124 is 14756.
