Least Common Multiple (LCM) of 178 and 141
The least common multiple (LCM) of 178 and 141 is 25098.
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 178 and 141?
First, calculate the GCD of 178 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 141 = 1 remainder 37 |
| 2 | 141 ÷ 37 = 3 remainder 30 |
| 3 | 37 ÷ 30 = 1 remainder 7 |
| 4 | 30 ÷ 7 = 4 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 103 | 6077 |
| 111 and 163 | 18093 |
| 124 and 74 | 4588 |
| 46 and 56 | 1288 |
| 17 and 13 | 221 |