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 |
|---|---|
| 160 and 32 | 160 |
| 117 and 131 | 15327 |
| 186 and 158 | 14694 |
| 177 and 123 | 7257 |
| 118 and 106 | 6254 |