Least Common Multiple (LCM) of 141 and 65
The least common multiple (LCM) of 141 and 65 is 9165.
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 141 and 65?
First, calculate the GCD of 141 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 65 = 2 remainder 11 |
| 2 | 65 ÷ 11 = 5 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 67 | 4154 |
| 57 and 162 | 3078 |
| 157 and 157 | 157 |
| 113 and 65 | 7345 |
| 178 and 98 | 8722 |