Least Common Multiple (LCM) of 169 and 92
The least common multiple (LCM) of 169 and 92 is 15548.
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 92?
First, calculate the GCD of 169 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 92 = 1 remainder 77 |
| 2 | 92 ÷ 77 = 1 remainder 15 |
| 3 | 77 ÷ 15 = 5 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 32 | 4320 |
| 185 and 102 | 18870 |
| 68 and 152 | 2584 |
| 129 and 119 | 15351 |
| 122 and 60 | 3660 |