Least Common Multiple (LCM) of 173 and 152
The least common multiple (LCM) of 173 and 152 is 26296.
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 173 and 152?
First, calculate the GCD of 173 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 152 = 1 remainder 21 |
| 2 | 152 ÷ 21 = 7 remainder 5 |
| 3 | 21 ÷ 5 = 4 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 151 | 27331 |
| 139 and 73 | 10147 |
| 163 and 181 | 29503 |
| 18 and 20 | 180 |
| 109 and 125 | 13625 |