Least Common Multiple (LCM) of 77 and 93
The least common multiple (LCM) of 77 and 93 is 7161.
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 93?
First, calculate the GCD of 77 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 93 = 0 remainder 77 |
| 2 | 93 ÷ 77 = 1 remainder 16 |
| 3 | 77 ÷ 16 = 4 remainder 13 |
| 4 | 16 ÷ 13 = 1 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 152 | 16568 |
| 131 and 191 | 25021 |
| 149 and 99 | 14751 |
| 147 and 167 | 24549 |
| 29 and 94 | 2726 |