Least Common Multiple (LCM) of 173 and 170
The least common multiple (LCM) of 173 and 170 is 29410.
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 170?
First, calculate the GCD of 173 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 170 = 1 remainder 3 |
| 2 | 170 ÷ 3 = 56 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 108 | 540 |
| 123 and 36 | 1476 |
| 51 and 75 | 1275 |
| 191 and 114 | 21774 |
| 124 and 52 | 1612 |