Least Common Multiple (LCM) of 156 and 27
The least common multiple (LCM) of 156 and 27 is 1404.
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 27?
First, calculate the GCD of 156 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 27 = 5 remainder 21 |
| 2 | 27 ÷ 21 = 1 remainder 6 |
| 3 | 21 ÷ 6 = 3 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 143 | 7722 |
| 176 and 174 | 15312 |
| 135 and 152 | 20520 |
| 145 and 154 | 22330 |
| 139 and 57 | 7923 |