Least Common Multiple (LCM) of 136 and 37
The least common multiple (LCM) of 136 and 37 is 5032.
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 37?
First, calculate the GCD of 136 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 37 = 3 remainder 25 |
| 2 | 37 ÷ 25 = 1 remainder 12 |
| 3 | 25 ÷ 12 = 2 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 135 | 810 |
| 157 and 39 | 6123 |
| 50 and 37 | 1850 |
| 89 and 89 | 89 |
| 40 and 177 | 7080 |