Least Common Multiple (LCM) of 136 and 141
The least common multiple (LCM) of 136 and 141 is 19176.
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 136 and 141?
First, calculate the GCD of 136 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 141 = 0 remainder 136 |
| 2 | 141 ÷ 136 = 1 remainder 5 |
| 3 | 136 ÷ 5 = 27 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 114 | 1254 |
| 114 and 117 | 4446 |
| 177 and 118 | 354 |
| 157 and 114 | 17898 |
| 160 and 69 | 11040 |