Least Common Multiple (LCM) of 170 and 114
The least common multiple (LCM) of 170 and 114 is 9690.
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 114?
First, calculate the GCD of 170 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 114 = 1 remainder 56 |
| 2 | 114 ÷ 56 = 2 remainder 2 |
| 3 | 56 ÷ 2 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 69 | 7176 |
| 42 and 62 | 1302 |
| 37 and 161 | 5957 |
| 136 and 115 | 15640 |
| 115 and 47 | 5405 |