Least Common Multiple (LCM) of 36 and 173
The least common multiple (LCM) of 36 and 173 is 6228.
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 36 and 173?
First, calculate the GCD of 36 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 173 = 0 remainder 36 |
| 2 | 173 ÷ 36 = 4 remainder 29 |
| 3 | 36 ÷ 29 = 1 remainder 7 |
| 4 | 29 ÷ 7 = 4 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 103 | 5356 |
| 167 and 77 | 12859 |
| 115 and 127 | 14605 |
| 17 and 161 | 2737 |
| 106 and 188 | 9964 |