Least Common Multiple (LCM) of 137 and 143
The least common multiple (LCM) of 137 and 143 is 19591.
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 143?
First, calculate the GCD of 137 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 143 = 0 remainder 137 |
| 2 | 143 ÷ 137 = 1 remainder 6 |
| 3 | 137 ÷ 6 = 22 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 18 | 1368 |
| 20 and 21 | 420 |
| 191 and 61 | 11651 |
| 73 and 81 | 5913 |
| 154 and 195 | 30030 |