Least Common Multiple (LCM) of 142 and 169
The least common multiple (LCM) of 142 and 169 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 142 and 169?
First, calculate the GCD of 142 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 169 = 0 remainder 142 |
| 2 | 169 ÷ 142 = 1 remainder 27 |
| 3 | 142 ÷ 27 = 5 remainder 7 |
| 4 | 27 ÷ 7 = 3 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 197 | 35657 |
| 121 and 164 | 19844 |
| 86 and 59 | 5074 |
| 73 and 174 | 12702 |
| 141 and 182 | 25662 |