Least Common Multiple (LCM) of 141 and 158
The least common multiple (LCM) of 141 and 158 is 22278.
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 158?
First, calculate the GCD of 141 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 158 = 0 remainder 141 |
| 2 | 158 ÷ 141 = 1 remainder 17 |
| 3 | 141 ÷ 17 = 8 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 73 | 2920 |
| 130 and 109 | 14170 |
| 47 and 15 | 705 |
| 157 and 175 | 27475 |
| 184 and 105 | 19320 |