Least Common Multiple (LCM) of 62 and 167
The least common multiple (LCM) of 62 and 167 is 10354.
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 167?
First, calculate the GCD of 62 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 167 = 0 remainder 62 |
| 2 | 167 ÷ 62 = 2 remainder 43 |
| 3 | 62 ÷ 43 = 1 remainder 19 |
| 4 | 43 ÷ 19 = 2 remainder 5 |
| 5 | 19 ÷ 5 = 3 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 96 | 672 |
| 22 and 91 | 2002 |
| 65 and 100 | 1300 |
| 144 and 147 | 7056 |
| 124 and 52 | 1612 |