Least Common Multiple (LCM) of 142 and 150
The least common multiple (LCM) of 142 and 150 is 10650.
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 150?
First, calculate the GCD of 142 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 150 = 0 remainder 142 |
| 2 | 150 ÷ 142 = 1 remainder 8 |
| 3 | 142 ÷ 8 = 17 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 41 | 5699 |
| 127 and 40 | 5080 |
| 189 and 49 | 1323 |
| 96 and 130 | 6240 |
| 128 and 164 | 5248 |