Least Common Multiple (LCM) of 156 and 195
The least common multiple (LCM) of 156 and 195 is 780.
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 195?
First, calculate the GCD of 156 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 195 = 0 remainder 156 |
| 2 | 195 ÷ 156 = 1 remainder 39 |
| 3 | 156 ÷ 39 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 82 | 4510 |
| 183 and 175 | 32025 |
| 91 and 80 | 7280 |
| 180 and 98 | 8820 |
| 76 and 40 | 760 |