Least Common Multiple (LCM) of 94 and 58
The least common multiple (LCM) of 94 and 58 is 2726.
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 58?
First, calculate the GCD of 94 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 58 = 1 remainder 36 |
| 2 | 58 ÷ 36 = 1 remainder 22 |
| 3 | 36 ÷ 22 = 1 remainder 14 |
| 4 | 22 ÷ 14 = 1 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 178 | 11748 |
| 78 and 182 | 546 |
| 136 and 70 | 4760 |
| 33 and 187 | 561 |
| 55 and 109 | 5995 |