Least Common Multiple (LCM) of 160 and 179
The least common multiple (LCM) of 160 and 179 is 28640.
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 179?
First, calculate the GCD of 160 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 179 = 0 remainder 160 |
| 2 | 179 ÷ 160 = 1 remainder 19 |
| 3 | 160 ÷ 19 = 8 remainder 8 |
| 4 | 19 ÷ 8 = 2 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 177 | 1770 |
| 166 and 15 | 2490 |
| 135 and 141 | 6345 |
| 18 and 109 | 1962 |
| 148 and 65 | 9620 |