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 |
|---|---|
| 119 and 74 | 8806 |
| 126 and 95 | 11970 |
| 149 and 101 | 15049 |
| 89 and 81 | 7209 |
| 28 and 99 | 2772 |