Least Common Multiple (LCM) of 136 and 100
The least common multiple (LCM) of 136 and 100 is 3400.
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 100?
First, calculate the GCD of 136 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 100 = 1 remainder 36 |
| 2 | 100 ÷ 36 = 2 remainder 28 |
| 3 | 36 ÷ 28 = 1 remainder 8 |
| 4 | 28 ÷ 8 = 3 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 11 | 1045 |
| 176 and 94 | 8272 |
| 11 and 139 | 1529 |
| 24 and 65 | 1560 |
| 159 and 49 | 7791 |