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 |
|---|---|
| 146 and 151 | 22046 |
| 143 and 200 | 28600 |
| 128 and 161 | 20608 |
| 146 and 28 | 2044 |
| 196 and 179 | 35084 |