Least Common Multiple (LCM) of 160 and 184
The least common multiple (LCM) of 160 and 184 is 3680.
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 184?
First, calculate the GCD of 160 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 184 = 0 remainder 160 |
| 2 | 184 ÷ 160 = 1 remainder 24 |
| 3 | 160 ÷ 24 = 6 remainder 16 |
| 4 | 24 ÷ 16 = 1 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 35 | 3360 |
| 82 and 30 | 1230 |
| 83 and 63 | 5229 |
| 107 and 90 | 9630 |
| 112 and 22 | 1232 |