Least Common Multiple (LCM) of 178 and 168
The least common multiple (LCM) of 178 and 168 is 14952.
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 168?
First, calculate the GCD of 178 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 168 = 1 remainder 10 |
| 2 | 168 ÷ 10 = 16 remainder 8 |
| 3 | 10 ÷ 8 = 1 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 139 | 14178 |
| 106 and 197 | 20882 |
| 67 and 72 | 4824 |
| 139 and 31 | 4309 |
| 167 and 63 | 10521 |