Least Common Multiple (LCM) of 178 and 99
The least common multiple (LCM) of 178 and 99 is 17622.
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 99?
First, calculate the GCD of 178 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 99 = 1 remainder 79 |
| 2 | 99 ÷ 79 = 1 remainder 20 |
| 3 | 79 ÷ 20 = 3 remainder 19 |
| 4 | 20 ÷ 19 = 1 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 192 | 35904 |
| 64 and 198 | 6336 |
| 103 and 32 | 3296 |
| 38 and 145 | 5510 |
| 136 and 13 | 1768 |