Least Common Multiple (LCM) of 141 and 172
The least common multiple (LCM) of 141 and 172 is 24252.
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 172?
First, calculate the GCD of 141 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 172 = 0 remainder 141 |
| 2 | 172 ÷ 141 = 1 remainder 31 |
| 3 | 141 ÷ 31 = 4 remainder 17 |
| 4 | 31 ÷ 17 = 1 remainder 14 |
| 5 | 17 ÷ 14 = 1 remainder 3 |
| 6 | 14 ÷ 3 = 4 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 14 | 266 |
| 11 and 75 | 825 |
| 168 and 51 | 2856 |
| 10 and 10 | 10 |
| 64 and 138 | 4416 |