Least Common Multiple (LCM) of 77 and 160
The least common multiple (LCM) of 77 and 160 is 12320.
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 77 and 160?
First, calculate the GCD of 77 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 160 = 0 remainder 77 |
| 2 | 160 ÷ 77 = 2 remainder 6 |
| 3 | 77 ÷ 6 = 12 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 187 | 20196 |
| 85 and 83 | 7055 |
| 122 and 125 | 15250 |
| 144 and 63 | 1008 |
| 99 and 158 | 15642 |