Least Common Multiple (LCM) of 167 and 112
The least common multiple (LCM) of 167 and 112 is 18704.
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 112?
First, calculate the GCD of 167 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 112 = 1 remainder 55 |
| 2 | 112 ÷ 55 = 2 remainder 2 |
| 3 | 55 ÷ 2 = 27 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 14 | 322 |
| 87 and 10 | 870 |
| 77 and 139 | 10703 |
| 40 and 143 | 5720 |
| 192 and 55 | 10560 |