Least Common Multiple (LCM) of 156 and 38
The least common multiple (LCM) of 156 and 38 is 2964.
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 38?
First, calculate the GCD of 156 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 38 = 4 remainder 4 |
| 2 | 38 ÷ 4 = 9 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 41 | 6109 |
| 128 and 29 | 3712 |
| 76 and 115 | 8740 |
| 81 and 43 | 3483 |
| 178 and 32 | 2848 |