Least Common Multiple (LCM) of 137 and 130
The least common multiple (LCM) of 137 and 130 is 17810.
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 137 and 130?
First, calculate the GCD of 137 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 130 = 1 remainder 7 |
| 2 | 130 ÷ 7 = 18 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 158 | 14062 |
| 146 and 183 | 26718 |
| 54 and 179 | 9666 |
| 73 and 90 | 6570 |
| 33 and 102 | 1122 |