Least Common Multiple (LCM) of 73 and 141
The least common multiple (LCM) of 73 and 141 is 10293.
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 141?
First, calculate the GCD of 73 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 141 = 0 remainder 73 |
| 2 | 141 ÷ 73 = 1 remainder 68 |
| 3 | 73 ÷ 68 = 1 remainder 5 |
| 4 | 68 ÷ 5 = 13 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 64 | 3904 |
| 14 and 50 | 350 |
| 141 and 149 | 21009 |
| 68 and 131 | 8908 |
| 14 and 169 | 2366 |