Least Common Multiple (LCM) of 168 and 113
The least common multiple (LCM) of 168 and 113 is 18984.
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 113?
First, calculate the GCD of 168 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 113 = 1 remainder 55 |
| 2 | 113 ÷ 55 = 2 remainder 3 |
| 3 | 55 ÷ 3 = 18 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 126 | 3654 |
| 124 and 43 | 5332 |
| 148 and 164 | 6068 |
| 77 and 23 | 1771 |
| 53 and 141 | 7473 |