Least Common Multiple (LCM) of 76 and 146
The least common multiple (LCM) of 76 and 146 is 5548.
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 76 and 146?
First, calculate the GCD of 76 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 146 = 0 remainder 76 |
| 2 | 146 ÷ 76 = 1 remainder 70 |
| 3 | 76 ÷ 70 = 1 remainder 6 |
| 4 | 70 ÷ 6 = 11 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 73 | 8249 |
| 60 and 100 | 300 |
| 158 and 78 | 6162 |
| 120 and 25 | 600 |
| 156 and 13 | 156 |