Least Common Multiple (LCM) of 170 and 175
The least common multiple (LCM) of 170 and 175 is 5950.
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 175?
First, calculate the GCD of 170 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 175 = 0 remainder 170 |
| 2 | 175 ÷ 170 = 1 remainder 5 |
| 3 | 170 ÷ 5 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 42 | 2142 |
| 120 and 178 | 10680 |
| 102 and 10 | 510 |
| 12 and 112 | 336 |
| 118 and 133 | 15694 |