Least Common Multiple (LCM) of 169 and 142
The least common multiple (LCM) of 169 and 142 is 23998.
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 142?
First, calculate the GCD of 169 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 142 = 1 remainder 27 |
| 2 | 142 ÷ 27 = 5 remainder 7 |
| 3 | 27 ÷ 7 = 3 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 126 | 16506 |
| 159 and 66 | 3498 |
| 139 and 133 | 18487 |
| 170 and 189 | 32130 |
| 123 and 37 | 4551 |