Least Common Multiple (LCM) of 178 and 20
The least common multiple (LCM) of 178 and 20 is 1780.
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 20?
First, calculate the GCD of 178 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 20 = 8 remainder 18 |
| 2 | 20 ÷ 18 = 1 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 103 | 16686 |
| 140 and 71 | 9940 |
| 116 and 104 | 3016 |
| 10 and 157 | 1570 |
| 61 and 58 | 3538 |