Least Common Multiple (LCM) of 100 and 94
The least common multiple (LCM) of 100 and 94 is 4700.
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 100 and 94?
First, calculate the GCD of 100 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 94 = 1 remainder 6 |
| 2 | 94 ÷ 6 = 15 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 53 | 6890 |
| 27 and 70 | 1890 |
| 17 and 140 | 2380 |
| 194 and 106 | 10282 |
| 142 and 115 | 16330 |