Least Common Multiple (LCM) of 143 and 121
The least common multiple (LCM) of 143 and 121 is 1573.
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 143 and 121?
First, calculate the GCD of 143 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 121 = 1 remainder 22 |
| 2 | 121 ÷ 22 = 5 remainder 11 |
| 3 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 71 | 10508 |
| 187 and 46 | 8602 |
| 122 and 136 | 8296 |
| 119 and 176 | 20944 |
| 15 and 24 | 120 |