Least Common Multiple (LCM) of 169 and 52
The least common multiple (LCM) of 169 and 52 is 676.
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 52?
First, calculate the GCD of 169 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 52 = 3 remainder 13 |
| 2 | 52 ÷ 13 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 81 | 405 |
| 187 and 112 | 20944 |
| 153 and 129 | 6579 |
| 70 and 124 | 4340 |
| 12 and 33 | 132 |