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 |
|---|---|
| 71 and 102 | 7242 |
| 134 and 39 | 5226 |
| 180 and 124 | 5580 |
| 127 and 101 | 12827 |
| 50 and 196 | 4900 |