Least Common Multiple (LCM) of 57 and 168
The least common multiple (LCM) of 57 and 168 is 3192.
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 57 and 168?
First, calculate the GCD of 57 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 168 = 0 remainder 57 |
| 2 | 168 ÷ 57 = 2 remainder 54 |
| 3 | 57 ÷ 54 = 1 remainder 3 |
| 4 | 54 ÷ 3 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 122 | 6832 |
| 66 and 107 | 7062 |
| 137 and 129 | 17673 |
| 169 and 127 | 21463 |
| 82 and 161 | 13202 |