Least Common Multiple (LCM) of 149 and 39
The least common multiple (LCM) of 149 and 39 is 5811.
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 39?
First, calculate the GCD of 149 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 39 = 3 remainder 32 |
| 2 | 39 ÷ 32 = 1 remainder 7 |
| 3 | 32 ÷ 7 = 4 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 164 | 9676 |
| 54 and 150 | 1350 |
| 68 and 145 | 9860 |
| 43 and 61 | 2623 |
| 162 and 28 | 2268 |