Least Common Multiple (LCM) of 160 and 104
The least common multiple (LCM) of 160 and 104 is 2080.
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 104?
First, calculate the GCD of 160 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 104 = 1 remainder 56 |
| 2 | 104 ÷ 56 = 1 remainder 48 |
| 3 | 56 ÷ 48 = 1 remainder 8 |
| 4 | 48 ÷ 8 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 153 | 6120 |
| 156 and 107 | 16692 |
| 116 and 120 | 3480 |
| 69 and 198 | 4554 |
| 10 and 148 | 740 |