Least Common Multiple (LCM) of 149 and 31
The least common multiple (LCM) of 149 and 31 is 4619.
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 31?
First, calculate the GCD of 149 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 31 = 4 remainder 25 |
| 2 | 31 ÷ 25 = 1 remainder 6 |
| 3 | 25 ÷ 6 = 4 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 44 | 1364 |
| 189 and 45 | 945 |
| 168 and 82 | 6888 |
| 86 and 168 | 7224 |
| 102 and 73 | 7446 |