Least Common Multiple (LCM) of 178 and 162
The least common multiple (LCM) of 178 and 162 is 14418.
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 162?
First, calculate the GCD of 178 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 162 = 1 remainder 16 |
| 2 | 162 ÷ 16 = 10 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 93 | 9300 |
| 98 and 150 | 7350 |
| 108 and 88 | 2376 |
| 127 and 185 | 23495 |
| 101 and 82 | 8282 |