Least Common Multiple (LCM) of 142 and 62
The least common multiple (LCM) of 142 and 62 is 4402.
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 62?
First, calculate the GCD of 142 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 62 = 2 remainder 18 |
| 2 | 62 ÷ 18 = 3 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 191 | 1910 |
| 23 and 192 | 4416 |
| 132 and 179 | 23628 |
| 116 and 200 | 5800 |
| 183 and 174 | 10614 |