Least Common Multiple (LCM) of 156 and 54
The least common multiple (LCM) of 156 and 54 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 54?
First, calculate the GCD of 156 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 54 = 2 remainder 48 |
| 2 | 54 ÷ 48 = 1 remainder 6 |
| 3 | 48 ÷ 6 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 194 | 14550 |
| 171 and 100 | 17100 |
| 143 and 129 | 18447 |
| 90 and 119 | 10710 |
| 123 and 77 | 9471 |