Least Common Multiple (LCM) of 178 and 160
The least common multiple (LCM) of 178 and 160 is 14240.
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 178 and 160?
First, calculate the GCD of 178 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 160 = 1 remainder 18 |
| 2 | 160 ÷ 18 = 8 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 100 | 15100 |
| 53 and 124 | 6572 |
| 186 and 50 | 4650 |
| 138 and 195 | 8970 |
| 39 and 108 | 1404 |