Least Common Multiple (LCM) of 160 and 142
The least common multiple (LCM) of 160 and 142 is 11360.
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 160 and 142?
First, calculate the GCD of 160 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 142 = 1 remainder 18 |
| 2 | 142 ÷ 18 = 7 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 55 | 6215 |
| 85 and 123 | 10455 |
| 106 and 165 | 17490 |
| 107 and 129 | 13803 |
| 28 and 133 | 532 |