Least Common Multiple (LCM) of 147 and 190
The least common multiple (LCM) of 147 and 190 is 27930.
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 147 and 190?
First, calculate the GCD of 147 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 190 = 0 remainder 147 |
| 2 | 190 ÷ 147 = 1 remainder 43 |
| 3 | 147 ÷ 43 = 3 remainder 18 |
| 4 | 43 ÷ 18 = 2 remainder 7 |
| 5 | 18 ÷ 7 = 2 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 51 | 8619 |
| 89 and 73 | 6497 |
| 80 and 122 | 4880 |
| 68 and 27 | 1836 |
| 110 and 162 | 8910 |