Least Common Multiple (LCM) of 178 and 147
The least common multiple (LCM) of 178 and 147 is 26166.
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 178 and 147?
First, calculate the GCD of 178 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 147 = 1 remainder 31 |
| 2 | 147 ÷ 31 = 4 remainder 23 |
| 3 | 31 ÷ 23 = 1 remainder 8 |
| 4 | 23 ÷ 8 = 2 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 67 | 10586 |
| 145 and 62 | 8990 |
| 29 and 14 | 406 |
| 103 and 124 | 12772 |
| 53 and 18 | 954 |