Least Common Multiple (LCM) of 136 and 47
The least common multiple (LCM) of 136 and 47 is 6392.
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 47?
First, calculate the GCD of 136 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 47 = 2 remainder 42 |
| 2 | 47 ÷ 42 = 1 remainder 5 |
| 3 | 42 ÷ 5 = 8 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 92 | 2392 |
| 102 and 192 | 3264 |
| 161 and 164 | 26404 |
| 32 and 125 | 4000 |
| 179 and 63 | 11277 |