Least Common Multiple (LCM) of 142 and 61
The least common multiple (LCM) of 142 and 61 is 8662.
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 61?
First, calculate the GCD of 142 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 61 = 2 remainder 20 |
| 2 | 61 ÷ 20 = 3 remainder 1 |
| 3 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 175 | 21350 |
| 97 and 145 | 14065 |
| 142 and 31 | 4402 |
| 76 and 135 | 10260 |
| 86 and 104 | 4472 |