Least Common Multiple (LCM) of 94 and 126
The least common multiple (LCM) of 94 and 126 is 5922.
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 126?
First, calculate the GCD of 94 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 126 = 0 remainder 94 |
| 2 | 126 ÷ 94 = 1 remainder 32 |
| 3 | 94 ÷ 32 = 2 remainder 30 |
| 4 | 32 ÷ 30 = 1 remainder 2 |
| 5 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 31 | 4619 |
| 137 and 118 | 16166 |
| 162 and 31 | 5022 |
| 49 and 22 | 1078 |
| 128 and 161 | 20608 |