Least Common Multiple (LCM) of 141 and 176
The least common multiple (LCM) of 141 and 176 is 24816.
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 176?
First, calculate the GCD of 141 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 176 = 0 remainder 141 |
| 2 | 176 ÷ 141 = 1 remainder 35 |
| 3 | 141 ÷ 35 = 4 remainder 1 |
| 4 | 35 ÷ 1 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 161 | 10465 |
| 159 and 61 | 9699 |
| 52 and 63 | 3276 |
| 155 and 149 | 23095 |
| 179 and 177 | 31683 |