Least Common Multiple (LCM) of 131 and 151
The least common multiple (LCM) of 131 and 151 is 19781.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 131 and 151?
First, calculate the GCD of 131 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 151 = 0 remainder 131 |
| 2 | 151 ÷ 131 = 1 remainder 20 |
| 3 | 131 ÷ 20 = 6 remainder 11 |
| 4 | 20 ÷ 11 = 1 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 80 | 3760 |
| 159 and 57 | 3021 |
| 38 and 81 | 3078 |
| 146 and 191 | 27886 |
| 157 and 114 | 17898 |