Least Common Multiple (LCM) of 142 and 88
The least common multiple (LCM) of 142 and 88 is 6248.
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 88?
First, calculate the GCD of 142 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 88 = 1 remainder 54 |
| 2 | 88 ÷ 54 = 1 remainder 34 |
| 3 | 54 ÷ 34 = 1 remainder 20 |
| 4 | 34 ÷ 20 = 1 remainder 14 |
| 5 | 20 ÷ 14 = 1 remainder 6 |
| 6 | 14 ÷ 6 = 2 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 81 | 9396 |
| 74 and 67 | 4958 |
| 164 and 102 | 8364 |
| 101 and 65 | 6565 |
| 32 and 129 | 4128 |