Least Common Multiple (LCM) of 169 and 69
The least common multiple (LCM) of 169 and 69 is 11661.
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 69?
First, calculate the GCD of 169 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 69 = 2 remainder 31 |
| 2 | 69 ÷ 31 = 2 remainder 7 |
| 3 | 31 ÷ 7 = 4 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 115 | 4140 |
| 191 and 153 | 29223 |
| 125 and 186 | 23250 |
| 134 and 91 | 12194 |
| 75 and 130 | 1950 |