Least Common Multiple (LCM) of 160 and 115
The least common multiple (LCM) of 160 and 115 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 115?
First, calculate the GCD of 160 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 115 = 1 remainder 45 |
| 2 | 115 ÷ 45 = 2 remainder 25 |
| 3 | 45 ÷ 25 = 1 remainder 20 |
| 4 | 25 ÷ 20 = 1 remainder 5 |
| 5 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 92 | 16100 |
| 155 and 50 | 1550 |
| 100 and 23 | 2300 |
| 139 and 62 | 8618 |
| 31 and 89 | 2759 |