Least Common Multiple (LCM) of 169 and 22
The least common multiple (LCM) of 169 and 22 is 3718.
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 22?
First, calculate the GCD of 169 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 22 = 7 remainder 15 |
| 2 | 22 ÷ 15 = 1 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 130 | 20670 |
| 185 and 138 | 25530 |
| 14 and 168 | 168 |
| 79 and 31 | 2449 |
| 185 and 87 | 16095 |