Least Common Multiple (LCM) of 29 and 94
The least common multiple (LCM) of 29 and 94 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 29 and 94?
First, calculate the GCD of 29 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 94 = 0 remainder 29 |
| 2 | 94 ÷ 29 = 3 remainder 7 |
| 3 | 29 ÷ 7 = 4 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 27 | 432 |
| 40 and 121 | 4840 |
| 160 and 192 | 960 |
| 175 and 84 | 2100 |
| 13 and 144 | 1872 |