Least Common Multiple (LCM) of 141 and 179
The least common multiple (LCM) of 141 and 179 is 25239.
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 179?
First, calculate the GCD of 141 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 179 = 0 remainder 141 |
| 2 | 179 ÷ 141 = 1 remainder 38 |
| 3 | 141 ÷ 38 = 3 remainder 27 |
| 4 | 38 ÷ 27 = 1 remainder 11 |
| 5 | 27 ÷ 11 = 2 remainder 5 |
| 6 | 11 ÷ 5 = 2 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 40 | 1480 |
| 191 and 32 | 6112 |
| 154 and 47 | 7238 |
| 11 and 143 | 143 |
| 20 and 56 | 280 |