Least Common Multiple (LCM) of 170 and 29
The least common multiple (LCM) of 170 and 29 is 4930.
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 29?
First, calculate the GCD of 170 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 29 = 5 remainder 25 |
| 2 | 29 ÷ 25 = 1 remainder 4 |
| 3 | 25 ÷ 4 = 6 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 56 | 4984 |
| 110 and 79 | 8690 |
| 65 and 110 | 1430 |
| 107 and 60 | 6420 |
| 176 and 126 | 11088 |