Least Common Multiple (LCM) of 156 and 25
The least common multiple (LCM) of 156 and 25 is 3900.
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 25?
First, calculate the GCD of 156 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 25 = 6 remainder 6 |
| 2 | 25 ÷ 6 = 4 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 28 | 756 |
| 102 and 149 | 15198 |
| 13 and 90 | 1170 |
| 18 and 23 | 414 |
| 120 and 137 | 16440 |