Least Common Multiple (LCM) of 131 and 148
The least common multiple (LCM) of 131 and 148 is 19388.
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 148?
First, calculate the GCD of 131 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 148 = 0 remainder 131 |
| 2 | 148 ÷ 131 = 1 remainder 17 |
| 3 | 131 ÷ 17 = 7 remainder 12 |
| 4 | 17 ÷ 12 = 1 remainder 5 |
| 5 | 12 ÷ 5 = 2 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 161 | 3220 |
| 188 and 132 | 6204 |
| 42 and 170 | 3570 |
| 183 and 103 | 18849 |
| 114 and 29 | 3306 |