Least Common Multiple (LCM) of 160 and 58
The least common multiple (LCM) of 160 and 58 is 4640.
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 58?
First, calculate the GCD of 160 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 58 = 2 remainder 44 |
| 2 | 58 ÷ 44 = 1 remainder 14 |
| 3 | 44 ÷ 14 = 3 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 123 | 7749 |
| 53 and 99 | 5247 |
| 67 and 151 | 10117 |
| 72 and 60 | 360 |
| 126 and 84 | 252 |