Least Common Multiple (LCM) of 131 and 60
The least common multiple (LCM) of 131 and 60 is 7860.
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 60?
First, calculate the GCD of 131 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 60 = 2 remainder 11 |
| 2 | 60 ÷ 11 = 5 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 120 | 600 |
| 200 and 100 | 200 |
| 85 and 90 | 1530 |
| 45 and 125 | 1125 |
| 148 and 165 | 24420 |