Least Common Multiple (LCM) of 147 and 167
The least common multiple (LCM) of 147 and 167 is 24549.
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 147 and 167?
First, calculate the GCD of 147 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 167 = 0 remainder 147 |
| 2 | 167 ÷ 147 = 1 remainder 20 |
| 3 | 147 ÷ 20 = 7 remainder 7 |
| 4 | 20 ÷ 7 = 2 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 41 | 1517 |
| 159 and 75 | 3975 |
| 84 and 170 | 7140 |
| 33 and 156 | 1716 |
| 102 and 14 | 714 |