Least Common Multiple (LCM) of 18 and 156
The least common multiple (LCM) of 18 and 156 is 468.
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 18 and 156?
First, calculate the GCD of 18 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 156 = 0 remainder 18 |
| 2 | 156 ÷ 18 = 8 remainder 12 |
| 3 | 18 ÷ 12 = 1 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 119 | 21182 |
| 121 and 125 | 15125 |
| 132 and 89 | 11748 |
| 170 and 161 | 27370 |
| 118 and 185 | 21830 |