Least Common Multiple (LCM) of 36 and 136
The least common multiple (LCM) of 36 and 136 is 1224.
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 36 and 136?
First, calculate the GCD of 36 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 136 = 0 remainder 36 |
| 2 | 136 ÷ 36 = 3 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 |
|---|---|
| 143 and 96 | 13728 |
| 24 and 158 | 1896 |
| 54 and 120 | 1080 |
| 70 and 185 | 2590 |
| 48 and 23 | 1104 |