Least Common Multiple (LCM) of 167 and 12
The least common multiple (LCM) of 167 and 12 is 2004.
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 12?
First, calculate the GCD of 167 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 12 = 13 remainder 11 |
| 2 | 12 ÷ 11 = 1 remainder 1 |
| 3 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 114 | 5700 |
| 103 and 23 | 2369 |
| 36 and 97 | 3492 |
| 97 and 160 | 15520 |
| 184 and 116 | 5336 |