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 |
|---|---|
| 189 and 133 | 3591 |
| 178 and 152 | 13528 |
| 122 and 158 | 9638 |
| 55 and 38 | 2090 |
| 63 and 13 | 819 |