Least Common Multiple (LCM) of 32 and 62
The least common multiple (LCM) of 32 and 62 is 992.
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 62?
First, calculate the GCD of 32 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 62 = 0 remainder 32 |
| 2 | 62 ÷ 32 = 1 remainder 30 |
| 3 | 32 ÷ 30 = 1 remainder 2 |
| 4 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 109 | 6322 |
| 20 and 133 | 2660 |
| 129 and 86 | 258 |
| 97 and 79 | 7663 |
| 32 and 100 | 800 |