Least Common Multiple (LCM) of 162 and 142
The least common multiple (LCM) of 162 and 142 is 11502.
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 162 and 142?
First, calculate the GCD of 162 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 142 = 1 remainder 20 |
| 2 | 142 ÷ 20 = 7 remainder 2 |
| 3 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 160 | 1120 |
| 113 and 168 | 18984 |
| 132 and 116 | 3828 |
| 150 and 35 | 1050 |
| 53 and 188 | 9964 |