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 |
|---|---|
| 91 and 184 | 16744 |
| 167 and 192 | 32064 |
| 59 and 143 | 8437 |
| 104 and 156 | 312 |
| 150 and 20 | 300 |