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 |
|---|---|
| 177 and 95 | 16815 |
| 95 and 184 | 17480 |
| 175 and 107 | 18725 |
| 185 and 53 | 9805 |
| 103 and 157 | 16171 |