Least Common Multiple (LCM) of 137 and 146
The least common multiple (LCM) of 137 and 146 is 20002.
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 146?
First, calculate the GCD of 137 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 146 = 0 remainder 137 |
| 2 | 146 ÷ 137 = 1 remainder 9 |
| 3 | 137 ÷ 9 = 15 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 89 | 1691 |
| 60 and 54 | 540 |
| 183 and 132 | 8052 |
| 149 and 73 | 10877 |
| 157 and 37 | 5809 |