Least Common Multiple (LCM) of 169 and 95
The least common multiple (LCM) of 169 and 95 is 16055.
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 95?
First, calculate the GCD of 169 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 95 = 1 remainder 74 |
| 2 | 95 ÷ 74 = 1 remainder 21 |
| 3 | 74 ÷ 21 = 3 remainder 11 |
| 4 | 21 ÷ 11 = 1 remainder 10 |
| 5 | 11 ÷ 10 = 1 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 160 | 4000 |
| 54 and 106 | 2862 |
| 128 and 138 | 8832 |
| 65 and 88 | 5720 |
| 59 and 174 | 10266 |