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 |
|---|---|
| 152 and 149 | 22648 |
| 167 and 128 | 21376 |
| 119 and 148 | 17612 |
| 182 and 180 | 16380 |
| 42 and 172 | 3612 |