Least Common Multiple (LCM) of 156 and 19
The least common multiple (LCM) of 156 and 19 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 19?
First, calculate the GCD of 156 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 19 = 8 remainder 4 |
| 2 | 19 ÷ 4 = 4 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 85 | 10710 |
| 141 and 142 | 20022 |
| 17 and 29 | 493 |
| 184 and 62 | 5704 |
| 147 and 189 | 1323 |