Least Common Multiple (LCM) of 136 and 156
The least common multiple (LCM) of 136 and 156 is 5304.
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 156?
First, calculate the GCD of 136 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 156 = 0 remainder 136 |
| 2 | 156 ÷ 136 = 1 remainder 20 |
| 3 | 136 ÷ 20 = 6 remainder 16 |
| 4 | 20 ÷ 16 = 1 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 200 | 26600 |
| 86 and 184 | 7912 |
| 165 and 159 | 8745 |
| 192 and 153 | 9792 |
| 45 and 17 | 765 |