Least Common Multiple (LCM) of 160 and 143
The least common multiple (LCM) of 160 and 143 is 22880.
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 143?
First, calculate the GCD of 160 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 143 = 1 remainder 17 |
| 2 | 143 ÷ 17 = 8 remainder 7 |
| 3 | 17 ÷ 7 = 2 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 70 | 140 |
| 175 and 138 | 24150 |
| 121 and 107 | 12947 |
| 71 and 31 | 2201 |
| 87 and 135 | 3915 |