Least Common Multiple (LCM) of 77 and 146
The least common multiple (LCM) of 77 and 146 is 11242.
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 77 and 146?
First, calculate the GCD of 77 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 146 = 0 remainder 77 |
| 2 | 146 ÷ 77 = 1 remainder 69 |
| 3 | 77 ÷ 69 = 1 remainder 8 |
| 4 | 69 ÷ 8 = 8 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 39 | 6123 |
| 11 and 120 | 1320 |
| 172 and 66 | 5676 |
| 101 and 107 | 10807 |
| 36 and 190 | 3420 |