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 |
|---|---|
| 118 and 188 | 11092 |
| 169 and 64 | 10816 |
| 182 and 146 | 13286 |
| 39 and 71 | 2769 |
| 155 and 141 | 21855 |