Least Common Multiple (LCM) of 170 and 156
The least common multiple (LCM) of 170 and 156 is 13260.
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 156?
First, calculate the GCD of 170 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 156 = 1 remainder 14 |
| 2 | 156 ÷ 14 = 11 remainder 2 |
| 3 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 159 | 5088 |
| 81 and 170 | 13770 |
| 110 and 175 | 3850 |
| 163 and 151 | 24613 |
| 54 and 155 | 8370 |