Least Common Multiple (LCM) of 169 and 20
The least common multiple (LCM) of 169 and 20 is 3380.
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 20?
First, calculate the GCD of 169 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 20 = 8 remainder 9 |
| 2 | 20 ÷ 9 = 2 remainder 2 |
| 3 | 9 ÷ 2 = 4 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 74 | 4884 |
| 72 and 105 | 2520 |
| 112 and 22 | 1232 |
| 94 and 41 | 3854 |
| 118 and 34 | 2006 |