Least Common Multiple (LCM) of 141 and 69
The least common multiple (LCM) of 141 and 69 is 3243.
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 69?
First, calculate the GCD of 141 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 69 = 2 remainder 3 |
| 2 | 69 ÷ 3 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 110 | 1980 |
| 144 and 116 | 4176 |
| 154 and 74 | 5698 |
| 23 and 176 | 4048 |
| 110 and 103 | 11330 |