Least Common Multiple (LCM) of 32 and 10
The least common multiple (LCM) of 32 and 10 is 160.
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 32 and 10?
First, calculate the GCD of 32 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 10 = 3 remainder 2 |
| 2 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 70 | 6790 |
| 141 and 162 | 7614 |
| 91 and 145 | 13195 |
| 177 and 29 | 5133 |
| 132 and 178 | 11748 |