Least Common Multiple (LCM) of 156 and 194
The least common multiple (LCM) of 156 and 194 is 15132.
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 156 and 194?
First, calculate the GCD of 156 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 194 = 0 remainder 156 |
| 2 | 194 ÷ 156 = 1 remainder 38 |
| 3 | 156 ÷ 38 = 4 remainder 4 |
| 4 | 38 ÷ 4 = 9 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 125 | 500 |
| 159 and 167 | 26553 |
| 70 and 17 | 1190 |
| 15 and 68 | 1020 |
| 155 and 96 | 14880 |