Least Common Multiple (LCM) of 131 and 121
The least common multiple (LCM) of 131 and 121 is 15851.
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 121?
First, calculate the GCD of 131 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 121 = 1 remainder 10 |
| 2 | 121 ÷ 10 = 12 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 123 | 8610 |
| 45 and 95 | 855 |
| 199 and 54 | 10746 |
| 95 and 39 | 3705 |
| 35 and 72 | 2520 |