Least Common Multiple (LCM) of 73 and 121
The least common multiple (LCM) of 73 and 121 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 73 and 121?
First, calculate the GCD of 73 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 121 = 0 remainder 73 |
| 2 | 121 ÷ 73 = 1 remainder 48 |
| 3 | 73 ÷ 48 = 1 remainder 25 |
| 4 | 48 ÷ 25 = 1 remainder 23 |
| 5 | 25 ÷ 23 = 1 remainder 2 |
| 6 | 23 ÷ 2 = 11 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 199 | 35223 |
| 138 and 32 | 2208 |
| 134 and 56 | 3752 |
| 114 and 123 | 4674 |
| 18 and 111 | 666 |