Least Common Multiple (LCM) of 168 and 49
The least common multiple (LCM) of 168 and 49 is 1176.
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 168 and 49?
First, calculate the GCD of 168 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 49 = 3 remainder 21 |
| 2 | 49 ÷ 21 = 2 remainder 7 |
| 3 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 12 | 564 |
| 56 and 132 | 1848 |
| 93 and 41 | 3813 |
| 136 and 143 | 19448 |
| 24 and 180 | 360 |