Least Common Multiple (LCM) of 56 and 141
The least common multiple (LCM) of 56 and 141 is 7896.
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 56 and 141?
First, calculate the GCD of 56 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 141 = 0 remainder 56 |
| 2 | 141 ÷ 56 = 2 remainder 29 |
| 3 | 56 ÷ 29 = 1 remainder 27 |
| 4 | 29 ÷ 27 = 1 remainder 2 |
| 5 | 27 ÷ 2 = 13 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 169 | 6084 |
| 103 and 85 | 8755 |
| 113 and 179 | 20227 |
| 199 and 99 | 19701 |
| 135 and 154 | 20790 |