Least Common Multiple (LCM) of 170 and 125
The least common multiple (LCM) of 170 and 125 is 4250.
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 170 and 125?
First, calculate the GCD of 170 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 125 = 1 remainder 45 |
| 2 | 125 ÷ 45 = 2 remainder 35 |
| 3 | 45 ÷ 35 = 1 remainder 10 |
| 4 | 35 ÷ 10 = 3 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 87 | 8787 |
| 127 and 158 | 20066 |
| 90 and 16 | 720 |
| 32 and 125 | 4000 |
| 30 and 121 | 3630 |