Least Common Multiple (LCM) of 149 and 21
The least common multiple (LCM) of 149 and 21 is 3129.
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 21?
First, calculate the GCD of 149 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 21 = 7 remainder 2 |
| 2 | 21 ÷ 2 = 10 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 131 | 24628 |
| 101 and 144 | 14544 |
| 39 and 127 | 4953 |
| 24 and 153 | 1224 |
| 197 and 65 | 12805 |