Least Common Multiple (LCM) of 94 and 148
The least common multiple (LCM) of 94 and 148 is 6956.
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 148?
First, calculate the GCD of 94 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 148 = 0 remainder 94 |
| 2 | 148 ÷ 94 = 1 remainder 54 |
| 3 | 94 ÷ 54 = 1 remainder 40 |
| 4 | 54 ÷ 40 = 1 remainder 14 |
| 5 | 40 ÷ 14 = 2 remainder 12 |
| 6 | 14 ÷ 12 = 1 remainder 2 |
| 7 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 61 | 6771 |
| 120 and 119 | 14280 |
| 200 and 124 | 6200 |
| 137 and 27 | 3699 |
| 199 and 86 | 17114 |