Least Common Multiple (LCM) of 144 and 94
The least common multiple (LCM) of 144 and 94 is 6768.
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 144 and 94?
First, calculate the GCD of 144 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 94 = 1 remainder 50 |
| 2 | 94 ÷ 50 = 1 remainder 44 |
| 3 | 50 ÷ 44 = 1 remainder 6 |
| 4 | 44 ÷ 6 = 7 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 24 | 384 |
| 156 and 84 | 1092 |
| 68 and 54 | 1836 |
| 116 and 79 | 9164 |
| 165 and 98 | 16170 |