Least Common Multiple (LCM) of 142 and 69
The least common multiple (LCM) of 142 and 69 is 9798.
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 69?
First, calculate the GCD of 142 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 69 = 2 remainder 4 |
| 2 | 69 ÷ 4 = 17 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 117 | 819 |
| 145 and 132 | 19140 |
| 149 and 162 | 24138 |
| 103 and 138 | 14214 |
| 145 and 46 | 6670 |