Least Common Multiple (LCM) of 156 and 50
The least common multiple (LCM) of 156 and 50 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 50?
First, calculate the GCD of 156 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 50 = 3 remainder 6 |
| 2 | 50 ÷ 6 = 8 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 33 | 1584 |
| 141 and 23 | 3243 |
| 96 and 66 | 1056 |
| 152 and 115 | 17480 |
| 68 and 143 | 9724 |