Least Common Multiple (LCM) of 94 and 155
The least common multiple (LCM) of 94 and 155 is 14570.
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 155?
First, calculate the GCD of 94 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 155 = 0 remainder 94 |
| 2 | 155 ÷ 94 = 1 remainder 61 |
| 3 | 94 ÷ 61 = 1 remainder 33 |
| 4 | 61 ÷ 33 = 1 remainder 28 |
| 5 | 33 ÷ 28 = 1 remainder 5 |
| 6 | 28 ÷ 5 = 5 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 113 | 21357 |
| 162 and 117 | 2106 |
| 200 and 137 | 27400 |
| 134 and 161 | 21574 |
| 15 and 161 | 2415 |