Least Common Multiple (LCM) of 178 and 18
The least common multiple (LCM) of 178 and 18 is 1602.
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 18?
First, calculate the GCD of 178 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 18 = 9 remainder 16 |
| 2 | 18 ÷ 16 = 1 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 161 | 30268 |
| 110 and 52 | 2860 |
| 124 and 148 | 4588 |
| 139 and 42 | 5838 |
| 135 and 188 | 25380 |