Least Common Multiple (LCM) of 156 and 190
The least common multiple (LCM) of 156 and 190 is 14820.
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 190?
First, calculate the GCD of 156 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 190 = 0 remainder 156 |
| 2 | 190 ÷ 156 = 1 remainder 34 |
| 3 | 156 ÷ 34 = 4 remainder 20 |
| 4 | 34 ÷ 20 = 1 remainder 14 |
| 5 | 20 ÷ 14 = 1 remainder 6 |
| 6 | 14 ÷ 6 = 2 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 49 | 2107 |
| 129 and 62 | 7998 |
| 52 and 118 | 3068 |
| 68 and 155 | 10540 |
| 58 and 74 | 2146 |