Least Common Multiple (LCM) of 92 and 169
The least common multiple (LCM) of 92 and 169 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 92 and 169?
First, calculate the GCD of 92 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 169 = 0 remainder 92 |
| 2 | 169 ÷ 92 = 1 remainder 77 |
| 3 | 92 ÷ 77 = 1 remainder 15 |
| 4 | 77 ÷ 15 = 5 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 30 | 930 |
| 51 and 24 | 408 |
| 58 and 48 | 1392 |
| 58 and 88 | 2552 |
| 146 and 109 | 15914 |