Least Common Multiple (LCM) of 149 and 130
The least common multiple (LCM) of 149 and 130 is 19370.
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 149 and 130?
First, calculate the GCD of 149 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 130 = 1 remainder 19 |
| 2 | 130 ÷ 19 = 6 remainder 16 |
| 3 | 19 ÷ 16 = 1 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 108 | 9828 |
| 108 and 111 | 3996 |
| 101 and 96 | 9696 |
| 169 and 180 | 30420 |
| 157 and 95 | 14915 |