Least Common Multiple (LCM) of 136 and 65
The least common multiple (LCM) of 136 and 65 is 8840.
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 65?
First, calculate the GCD of 136 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 65 = 2 remainder 6 |
| 2 | 65 ÷ 6 = 10 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 126 | 14490 |
| 165 and 139 | 22935 |
| 153 and 189 | 3213 |
| 143 and 88 | 1144 |
| 165 and 28 | 4620 |