Least Common Multiple (LCM) of 121 and 143
The least common multiple (LCM) of 121 and 143 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 121 and 143?
First, calculate the GCD of 121 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 143 = 0 remainder 121 |
| 2 | 143 ÷ 121 = 1 remainder 22 |
| 3 | 121 ÷ 22 = 5 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 20 | 60 |
| 18 and 75 | 450 |
| 151 and 150 | 22650 |
| 94 and 121 | 11374 |
| 32 and 115 | 3680 |