Least Common Multiple (LCM) of 168 and 32
The least common multiple (LCM) of 168 and 32 is 672.
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 168 and 32?
First, calculate the GCD of 168 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 32 = 5 remainder 8 |
| 2 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 182 | 20202 |
| 103 and 86 | 8858 |
| 173 and 132 | 22836 |
| 124 and 70 | 4340 |
| 184 and 170 | 15640 |