Least Common Multiple (LCM) of 156 and 55
The least common multiple (LCM) of 156 and 55 is 8580.
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 55?
First, calculate the GCD of 156 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 55 = 2 remainder 46 |
| 2 | 55 ÷ 46 = 1 remainder 9 |
| 3 | 46 ÷ 9 = 5 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 194 | 35114 |
| 44 and 176 | 176 |
| 200 and 31 | 6200 |
| 40 and 44 | 440 |
| 149 and 10 | 1490 |