Least Common Multiple (LCM) of 160 and 178
The least common multiple (LCM) of 160 and 178 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 160 and 178?
First, calculate the GCD of 160 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 178 = 0 remainder 160 |
| 2 | 178 ÷ 160 = 1 remainder 18 |
| 3 | 160 ÷ 18 = 8 remainder 16 |
| 4 | 18 ÷ 16 = 1 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 73 | 4818 |
| 160 and 47 | 7520 |
| 19 and 110 | 2090 |
| 73 and 79 | 5767 |
| 74 and 177 | 13098 |