Least Common Multiple (LCM) of 141 and 54
The least common multiple (LCM) of 141 and 54 is 2538.
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 54?
First, calculate the GCD of 141 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 54 = 2 remainder 33 |
| 2 | 54 ÷ 33 = 1 remainder 21 |
| 3 | 33 ÷ 21 = 1 remainder 12 |
| 4 | 21 ÷ 12 = 1 remainder 9 |
| 5 | 12 ÷ 9 = 1 remainder 3 |
| 6 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 129 | 129 |
| 101 and 32 | 3232 |
| 200 and 29 | 5800 |
| 14 and 59 | 826 |
| 152 and 39 | 5928 |