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 |
|---|---|
| 179 and 17 | 3043 |
| 84 and 112 | 336 |
| 35 and 56 | 280 |
| 24 and 19 | 456 |
| 59 and 13 | 767 |