Least Common Multiple (LCM) of 62 and 32
The least common multiple (LCM) of 62 and 32 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 62 and 32?
First, calculate the GCD of 62 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 32 = 1 remainder 30 |
| 2 | 32 ÷ 30 = 1 remainder 2 |
| 3 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 107 | 5885 |
| 70 and 69 | 4830 |
| 171 and 113 | 19323 |
| 47 and 19 | 893 |
| 110 and 174 | 9570 |