Least Common Multiple of 124 and 131
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 124 and 131 the smallest integer that is 16244 that is divisible by both numbers.
Least Common Multiple (LCM) of 124 and 131 is 16244.
LCM(124,131) = 16244
LCM of 124 and 131
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 124 and 131 by Prime method
- Least Common Multiple of 124 and 131 with GCF Formula
LCM of 124 and 131 is 16244
Least common multiple can be found by multiplying the highest exponent prime factors of 124 and 131. First we will calculate the prime factors of 124 and 131.
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
Prime Factorization of 131
| 131 | 131 |
| 1 |
Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:
131 = 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 124 and 131.
LCM(124,131) = 22×311×1311
LCM(124,131) = 16244
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1, 131
Least Common Multiple of 124 and 131 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 124 and 131, than apply into the LCM equation.
GCF(124,131) = 1
LCM(124,131) = ( 124 × 131) / 1
LCM(124,131) = 16244 / 1
LCM(124,131) = 16244
Properties of LCM 124 and 131
(i) The LCM of 131 and 124 is associative
LCM of 124 and 131 = LCM of 131 and 124
Related Least Common Multiples of 124
Related Least Common Multiples of 131
Frequently Asked Questions on LCM of 124 and 131
1. What is the LCM of 124 and 131?
Answer: LCM of 124 and 131 is 16244.
2. 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.
3. What are the Factors of 131?
Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.
4. How to Find the LCM of 124 and 131?
Answer:
Least Common Multiple of 124 and 131 = 16244
Step 1: Find the prime factorization of 124
124 = 2 x 2 x 31
Step 2: Find the prime factorization of 131
131 = 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16244 = 2 x 2 x 31 x 131
Step 4: Therefore, the least common multiple of 124 and 131 is 16244.
