Least Common Multiple (LCM) of 156 and 136
The least common multiple (LCM) of 156 and 136 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 156 and 136?
First, calculate the GCD of 156 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 136 = 1 remainder 20 |
| 2 | 136 ÷ 20 = 6 remainder 16 |
| 3 | 20 ÷ 16 = 1 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 47 | 8037 |
| 80 and 17 | 1360 |
| 183 and 121 | 22143 |
| 107 and 52 | 5564 |
| 130 and 22 | 1430 |