Least Common Multiple (LCM) of 167 and 78
The least common multiple (LCM) of 167 and 78 is 13026.
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 78?
First, calculate the GCD of 167 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 78 = 2 remainder 11 |
| 2 | 78 ÷ 11 = 7 remainder 1 |
| 3 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 45 | 6390 |
| 167 and 65 | 10855 |
| 169 and 127 | 21463 |
| 172 and 54 | 4644 |
| 73 and 78 | 5694 |