Least Common Multiple (LCM) of 160 and 52
The least common multiple (LCM) of 160 and 52 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 52?
First, calculate the GCD of 160 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 52 = 3 remainder 4 |
| 2 | 52 ÷ 4 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 93 | 11067 |
| 170 and 84 | 7140 |
| 133 and 112 | 2128 |
| 147 and 20 | 2940 |
| 175 and 165 | 5775 |