Least Common Multiple (LCM) of 136 and 20
The least common multiple (LCM) of 136 and 20 is 680.
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 20?
First, calculate the GCD of 136 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 20 = 6 remainder 16 |
| 2 | 20 ÷ 16 = 1 remainder 4 |
| 3 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 117 | 1404 |
| 98 and 176 | 8624 |
| 130 and 178 | 11570 |
| 193 and 76 | 14668 |
| 78 and 169 | 1014 |