Least Common Multiple (LCM) of 94 and 77
The least common multiple (LCM) of 94 and 77 is 7238.
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 94 and 77?
First, calculate the GCD of 94 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 77 = 1 remainder 17 |
| 2 | 77 ÷ 17 = 4 remainder 9 |
| 3 | 17 ÷ 9 = 1 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 55 | 8360 |
| 23 and 78 | 1794 |
| 33 and 198 | 198 |
| 123 and 83 | 10209 |
| 39 and 87 | 1131 |