Least Common Multiple (LCM) of 160 and 88
The least common multiple (LCM) of 160 and 88 is 1760.
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 88?
First, calculate the GCD of 160 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 88 = 1 remainder 72 |
| 2 | 88 ÷ 72 = 1 remainder 16 |
| 3 | 72 ÷ 16 = 4 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 74 | 962 |
| 96 and 77 | 7392 |
| 11 and 197 | 2167 |
| 189 and 78 | 4914 |
| 199 and 197 | 39203 |