Least Common Multiple (LCM) of 160 and 188
The least common multiple (LCM) of 160 and 188 is 7520.
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 188?
First, calculate the GCD of 160 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 188 = 0 remainder 160 |
| 2 | 188 ÷ 160 = 1 remainder 28 |
| 3 | 160 ÷ 28 = 5 remainder 20 |
| 4 | 28 ÷ 20 = 1 remainder 8 |
| 5 | 20 ÷ 8 = 2 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 24 | 1704 |
| 170 and 26 | 2210 |
| 70 and 64 | 2240 |
| 141 and 46 | 6486 |
| 110 and 13 | 1430 |