Least Common Multiple (LCM) of 177 and 136
The least common multiple (LCM) of 177 and 136 is 24072.
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 177 and 136?
First, calculate the GCD of 177 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 136 = 1 remainder 41 |
| 2 | 136 ÷ 41 = 3 remainder 13 |
| 3 | 41 ÷ 13 = 3 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 60 | 6420 |
| 146 and 160 | 11680 |
| 112 and 54 | 3024 |
| 47 and 157 | 7379 |
| 141 and 11 | 1551 |