Least Common Multiple (LCM) of 167 and 62
The least common multiple (LCM) of 167 and 62 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 167 and 62?
First, calculate the GCD of 167 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 62 = 2 remainder 43 |
| 2 | 62 ÷ 43 = 1 remainder 19 |
| 3 | 43 ÷ 19 = 2 remainder 5 |
| 4 | 19 ÷ 5 = 3 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 33 | 2706 |
| 60 and 51 | 1020 |
| 140 and 32 | 1120 |
| 76 and 31 | 2356 |
| 78 and 119 | 9282 |