Least Common Multiple (LCM) of 141 and 76
The least common multiple (LCM) of 141 and 76 is 10716.
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 76?
First, calculate the GCD of 141 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 76 = 1 remainder 65 |
| 2 | 76 ÷ 65 = 1 remainder 11 |
| 3 | 65 ÷ 11 = 5 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 184 | 13064 |
| 25 and 157 | 3925 |
| 182 and 78 | 546 |
| 53 and 40 | 2120 |
| 22 and 33 | 66 |