Least Common Multiple (LCM) of 157 and 94
The least common multiple (LCM) of 157 and 94 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 157 and 94?
First, calculate the GCD of 157 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 94 = 1 remainder 63 |
| 2 | 94 ÷ 63 = 1 remainder 31 |
| 3 | 63 ÷ 31 = 2 remainder 1 |
| 4 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 199 | 19900 |
| 72 and 50 | 1800 |
| 40 and 49 | 1960 |
| 117 and 14 | 1638 |
| 104 and 130 | 520 |