Least Common Multiple (LCM) of 146 and 178
The least common multiple (LCM) of 146 and 178 is 12994.
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 146 and 178?
First, calculate the GCD of 146 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 178 = 0 remainder 146 |
| 2 | 178 ÷ 146 = 1 remainder 32 |
| 3 | 146 ÷ 32 = 4 remainder 18 |
| 4 | 32 ÷ 18 = 1 remainder 14 |
| 5 | 18 ÷ 14 = 1 remainder 4 |
| 6 | 14 ÷ 4 = 3 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 116 | 5220 |
| 143 and 98 | 14014 |
| 86 and 132 | 5676 |
| 140 and 17 | 2380 |
| 137 and 124 | 16988 |