Least Common Multiple (LCM) of 153 and 130
The least common multiple (LCM) of 153 and 130 is 19890.
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 153 and 130?
First, calculate the GCD of 153 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 130 = 1 remainder 23 |
| 2 | 130 ÷ 23 = 5 remainder 15 |
| 3 | 23 ÷ 15 = 1 remainder 8 |
| 4 | 15 ÷ 8 = 1 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 37 | 1813 |
| 70 and 171 | 11970 |
| 198 and 29 | 5742 |
| 103 and 97 | 9991 |
| 72 and 150 | 1800 |