Least Common Multiple (LCM) of 142 and 36
The least common multiple (LCM) of 142 and 36 is 2556.
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 36?
First, calculate the GCD of 142 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 36 = 3 remainder 34 |
| 2 | 36 ÷ 34 = 1 remainder 2 |
| 3 | 34 ÷ 2 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 88 | 15048 |
| 106 and 162 | 8586 |
| 22 and 176 | 176 |
| 72 and 181 | 13032 |
| 198 and 86 | 8514 |