Least Common Multiple (LCM) of 173 and 125
The least common multiple (LCM) of 173 and 125 is 21625.
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 125?
First, calculate the GCD of 173 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 125 = 1 remainder 48 |
| 2 | 125 ÷ 48 = 2 remainder 29 |
| 3 | 48 ÷ 29 = 1 remainder 19 |
| 4 | 29 ÷ 19 = 1 remainder 10 |
| 5 | 19 ÷ 10 = 1 remainder 9 |
| 6 | 10 ÷ 9 = 1 remainder 1 |
| 7 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 152 | 16872 |
| 151 and 179 | 27029 |
| 60 and 94 | 2820 |
| 56 and 87 | 4872 |
| 107 and 113 | 12091 |