Least Common Multiple (LCM) of 38 and 160
The least common multiple (LCM) of 38 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 38 and 160?
First, calculate the GCD of 38 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 160 = 0 remainder 38 |
| 2 | 160 ÷ 38 = 4 remainder 8 |
| 3 | 38 ÷ 8 = 4 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 73 | 1022 |
| 94 and 62 | 2914 |
| 177 and 114 | 6726 |
| 140 and 106 | 7420 |
| 129 and 19 | 2451 |