Least Common Multiple (LCM) of 76 and 160
The least common multiple (LCM) of 76 and 160 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 76 and 160?
First, calculate the GCD of 76 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 160 = 0 remainder 76 |
| 2 | 160 ÷ 76 = 2 remainder 8 |
| 3 | 76 ÷ 8 = 9 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 199 | 21691 |
| 181 and 104 | 18824 |
| 83 and 178 | 14774 |
| 144 and 118 | 8496 |
| 99 and 194 | 19206 |