Least Common Multiple (LCM) of 24 and 160
The least common multiple (LCM) of 24 and 160 is 480.
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 24 and 160?
First, calculate the GCD of 24 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 160 = 0 remainder 24 |
| 2 | 160 ÷ 24 = 6 remainder 16 |
| 3 | 24 ÷ 16 = 1 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 44 | 2112 |
| 102 and 155 | 15810 |
| 94 and 94 | 94 |
| 161 and 112 | 2576 |
| 118 and 35 | 4130 |