Least Common Multiple (LCM) of 73 and 177
The least common multiple (LCM) of 73 and 177 is 12921.
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 177?
First, calculate the GCD of 73 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 177 = 0 remainder 73 |
| 2 | 177 ÷ 73 = 2 remainder 31 |
| 3 | 73 ÷ 31 = 2 remainder 11 |
| 4 | 31 ÷ 11 = 2 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 137 | 11371 |
| 103 and 70 | 7210 |
| 128 and 71 | 9088 |
| 62 and 68 | 2108 |
| 157 and 185 | 29045 |