Least Common Multiple (LCM) of 169 and 39
The least common multiple (LCM) of 169 and 39 is 507.
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 39?
First, calculate the GCD of 169 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 39 = 4 remainder 13 |
| 2 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 173 | 23009 |
| 61 and 89 | 5429 |
| 106 and 78 | 4134 |
| 161 and 65 | 10465 |
| 58 and 80 | 2320 |