Least Common Multiple (LCM) of 137 and 32
The least common multiple (LCM) of 137 and 32 is 4384.
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 137 and 32?
First, calculate the GCD of 137 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 32 = 4 remainder 9 |
| 2 | 32 ÷ 9 = 3 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 39 | 858 |
| 159 and 74 | 11766 |
| 172 and 50 | 4300 |
| 175 and 48 | 8400 |
| 158 and 197 | 31126 |