Least Common Multiple (LCM) of 167 and 54
The least common multiple (LCM) of 167 and 54 is 9018.
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 54?
First, calculate the GCD of 167 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 54 = 3 remainder 5 |
| 2 | 54 ÷ 5 = 10 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 119 | 16303 |
| 176 and 72 | 1584 |
| 81 and 197 | 15957 |
| 138 and 14 | 966 |
| 197 and 145 | 28565 |