Least Common Multiple (LCM) of 167 and 147
The least common multiple (LCM) of 167 and 147 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 167 and 147?
First, calculate the GCD of 167 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 147 = 1 remainder 20 |
| 2 | 147 ÷ 20 = 7 remainder 7 |
| 3 | 20 ÷ 7 = 2 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 188 | 5076 |
| 129 and 127 | 16383 |
| 38 and 101 | 3838 |
| 33 and 118 | 3894 |
| 132 and 54 | 1188 |