Least Common Multiple (LCM) of 160 and 95
The least common multiple (LCM) of 160 and 95 is 3040.
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 95?
First, calculate the GCD of 160 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 95 = 1 remainder 65 |
| 2 | 95 ÷ 65 = 1 remainder 30 |
| 3 | 65 ÷ 30 = 2 remainder 5 |
| 4 | 30 ÷ 5 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 175 | 2100 |
| 77 and 119 | 1309 |
| 44 and 79 | 3476 |
| 187 and 157 | 29359 |
| 102 and 169 | 17238 |