Least Common Multiple (LCM) of 178 and 62
The least common multiple (LCM) of 178 and 62 is 5518.
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 62?
First, calculate the GCD of 178 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 62 = 2 remainder 54 |
| 2 | 62 ÷ 54 = 1 remainder 8 |
| 3 | 54 ÷ 8 = 6 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 116 | 10324 |
| 144 and 82 | 5904 |
| 167 and 197 | 32899 |
| 145 and 37 | 5365 |
| 71 and 146 | 10366 |