Least Common Multiple (LCM) of 94 and 151
The least common multiple (LCM) of 94 and 151 is 14194.
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 151?
First, calculate the GCD of 94 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 151 = 0 remainder 94 |
| 2 | 151 ÷ 94 = 1 remainder 57 |
| 3 | 94 ÷ 57 = 1 remainder 37 |
| 4 | 57 ÷ 37 = 1 remainder 20 |
| 5 | 37 ÷ 20 = 1 remainder 17 |
| 6 | 20 ÷ 17 = 1 remainder 3 |
| 7 | 17 ÷ 3 = 5 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 116 | 580 |
| 44 and 18 | 396 |
| 101 and 39 | 3939 |
| 99 and 189 | 2079 |
| 56 and 146 | 4088 |