Least Common Multiple (LCM) of 160 and 164
The least common multiple (LCM) of 160 and 164 is 6560.
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 164?
First, calculate the GCD of 160 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 164 = 0 remainder 160 |
| 2 | 164 ÷ 160 = 1 remainder 4 |
| 3 | 160 ÷ 4 = 40 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 121 | 16335 |
| 146 and 21 | 3066 |
| 103 and 37 | 3811 |
| 136 and 42 | 2856 |
| 76 and 132 | 2508 |