Least Common Multiple (LCM) of 167 and 182
The least common multiple (LCM) of 167 and 182 is 30394.
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 182?
First, calculate the GCD of 167 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 182 = 0 remainder 167 |
| 2 | 182 ÷ 167 = 1 remainder 15 |
| 3 | 167 ÷ 15 = 11 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 145 | 2465 |
| 90 and 153 | 1530 |
| 93 and 130 | 12090 |
| 154 and 13 | 2002 |
| 53 and 29 | 1537 |