Least Common Multiple (LCM) of 156 and 142
The least common multiple (LCM) of 156 and 142 is 11076.
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 156 and 142?
First, calculate the GCD of 156 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 142 = 1 remainder 14 |
| 2 | 142 ÷ 14 = 10 remainder 2 |
| 3 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 25 | 25 |
| 187 and 125 | 23375 |
| 145 and 192 | 27840 |
| 155 and 38 | 5890 |
| 100 and 22 | 1100 |