Least Common Multiple (LCM) of 169 and 168
The least common multiple (LCM) of 169 and 168 is 28392.
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 169 and 168?
First, calculate the GCD of 169 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 168 = 1 remainder 1 |
| 2 | 168 ÷ 1 = 168 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 153 | 26316 |
| 111 and 35 | 3885 |
| 141 and 155 | 21855 |
| 35 and 20 | 140 |
| 137 and 121 | 16577 |