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 |
|---|---|
| 177 and 43 | 7611 |
| 67 and 194 | 12998 |
| 106 and 40 | 2120 |
| 111 and 170 | 18870 |
| 109 and 163 | 17767 |