Least Common Multiple (LCM) of 160 and 78
The least common multiple (LCM) of 160 and 78 is 6240.
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 78?
First, calculate the GCD of 160 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 78 = 2 remainder 4 |
| 2 | 78 ÷ 4 = 19 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 190 | 21090 |
| 145 and 133 | 19285 |
| 144 and 113 | 16272 |
| 136 and 53 | 7208 |
| 83 and 183 | 15189 |