Least Common Multiple (LCM) of 131 and 150
The least common multiple (LCM) of 131 and 150 is 19650.
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 150?
First, calculate the GCD of 131 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 150 = 0 remainder 131 |
| 2 | 150 ÷ 131 = 1 remainder 19 |
| 3 | 131 ÷ 19 = 6 remainder 17 |
| 4 | 19 ÷ 17 = 1 remainder 2 |
| 5 | 17 ÷ 2 = 8 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 108 | 2052 |
| 102 and 70 | 3570 |
| 124 and 96 | 2976 |
| 30 and 26 | 390 |
| 33 and 111 | 1221 |