Least Common Multiple (LCM) of 169 and 76
The least common multiple (LCM) of 169 and 76 is 12844.
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 76?
First, calculate the GCD of 169 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 76 = 2 remainder 17 |
| 2 | 76 ÷ 17 = 4 remainder 8 |
| 3 | 17 ÷ 8 = 2 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 135 | 13905 |
| 84 and 129 | 3612 |
| 149 and 174 | 25926 |
| 145 and 180 | 5220 |
| 136 and 16 | 272 |