Least Common Multiple (LCM) of 94 and 139
The least common multiple (LCM) of 94 and 139 is 13066.
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 139?
First, calculate the GCD of 94 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 139 = 0 remainder 94 |
| 2 | 139 ÷ 94 = 1 remainder 45 |
| 3 | 94 ÷ 45 = 2 remainder 4 |
| 4 | 45 ÷ 4 = 11 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 16 | 880 |
| 70 and 75 | 1050 |
| 122 and 93 | 11346 |
| 168 and 188 | 7896 |
| 31 and 197 | 6107 |