Least Common Multiple (LCM) of 169 and 40
The least common multiple (LCM) of 169 and 40 is 6760.
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 40?
First, calculate the GCD of 169 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 40 = 4 remainder 9 |
| 2 | 40 ÷ 9 = 4 remainder 4 |
| 3 | 9 ÷ 4 = 2 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 14 | 714 |
| 88 and 108 | 2376 |
| 105 and 96 | 3360 |
| 44 and 79 | 3476 |
| 177 and 128 | 22656 |