Least Common Multiple (LCM) of 168 and 117
The least common multiple (LCM) of 168 and 117 is 6552.
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 117?
First, calculate the GCD of 168 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 117 = 1 remainder 51 |
| 2 | 117 ÷ 51 = 2 remainder 15 |
| 3 | 51 ÷ 15 = 3 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 169 | 32617 |
| 94 and 103 | 9682 |
| 199 and 36 | 7164 |
| 105 and 98 | 1470 |
| 130 and 14 | 910 |