Least Common Multiple (LCM) of 142 and 160
The least common multiple (LCM) of 142 and 160 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 142 and 160?
First, calculate the GCD of 142 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 160 = 0 remainder 142 |
| 2 | 160 ÷ 142 = 1 remainder 18 |
| 3 | 142 ÷ 18 = 7 remainder 16 |
| 4 | 18 ÷ 16 = 1 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 20 | 380 |
| 27 and 188 | 5076 |
| 172 and 184 | 7912 |
| 69 and 107 | 7383 |
| 162 and 11 | 1782 |