Least Common Multiple (LCM) of 178 and 167
The least common multiple (LCM) of 178 and 167 is 29726.
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 167?
First, calculate the GCD of 178 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 167 = 1 remainder 11 |
| 2 | 167 ÷ 11 = 15 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 129 | 20769 |
| 185 and 172 | 31820 |
| 119 and 120 | 14280 |
| 127 and 62 | 7874 |
| 33 and 57 | 627 |