Least Common Multiple (LCM) of 132 and 170
The least common multiple (LCM) of 132 and 170 is 11220.
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 132 and 170?
First, calculate the GCD of 132 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 170 = 0 remainder 132 |
| 2 | 170 ÷ 132 = 1 remainder 38 |
| 3 | 132 ÷ 38 = 3 remainder 18 |
| 4 | 38 ÷ 18 = 2 remainder 2 |
| 5 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 158 | 9164 |
| 167 and 195 | 32565 |
| 111 and 98 | 10878 |
| 193 and 42 | 8106 |
| 182 and 178 | 16198 |