Least Common Multiple (LCM) of 62 and 96
The least common multiple (LCM) of 62 and 96 is 2976.
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 96?
First, calculate the GCD of 62 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 96 = 0 remainder 62 |
| 2 | 96 ÷ 62 = 1 remainder 34 |
| 3 | 62 ÷ 34 = 1 remainder 28 |
| 4 | 34 ÷ 28 = 1 remainder 6 |
| 5 | 28 ÷ 6 = 4 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 173 | 33216 |
| 115 and 24 | 2760 |
| 60 and 178 | 5340 |
| 31 and 181 | 5611 |
| 47 and 143 | 6721 |