Least Common Multiple (LCM) of 178 and 35
The least common multiple (LCM) of 178 and 35 is 6230.
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 35?
First, calculate the GCD of 178 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 35 = 5 remainder 3 |
| 2 | 35 ÷ 3 = 11 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 143 | 11726 |
| 110 and 90 | 990 |
| 89 and 103 | 9167 |
| 19 and 96 | 1824 |
| 134 and 171 | 22914 |