Least Common Multiple (LCM) of 121 and 73
The least common multiple (LCM) of 121 and 73 is 8833.
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 73?
First, calculate the GCD of 121 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 73 = 1 remainder 48 |
| 2 | 73 ÷ 48 = 1 remainder 25 |
| 3 | 48 ÷ 25 = 1 remainder 23 |
| 4 | 25 ÷ 23 = 1 remainder 2 |
| 5 | 23 ÷ 2 = 11 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 106 | 7314 |
| 151 and 172 | 25972 |
| 143 and 71 | 10153 |
| 25 and 50 | 50 |
| 11 and 175 | 1925 |