Least Common Multiple (LCM) of 94 and 157
The least common multiple (LCM) of 94 and 157 is 14758.
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 157?
First, calculate the GCD of 94 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 157 = 0 remainder 94 |
| 2 | 157 ÷ 94 = 1 remainder 63 |
| 3 | 94 ÷ 63 = 1 remainder 31 |
| 4 | 63 ÷ 31 = 2 remainder 1 |
| 5 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 150 | 1200 |
| 158 and 81 | 12798 |
| 31 and 131 | 4061 |
| 41 and 17 | 697 |
| 29 and 49 | 1421 |