Least Common Multiple (LCM) of 149 and 56
The least common multiple (LCM) of 149 and 56 is 8344.
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 56?
First, calculate the GCD of 149 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 56 = 2 remainder 37 |
| 2 | 56 ÷ 37 = 1 remainder 19 |
| 3 | 37 ÷ 19 = 1 remainder 18 |
| 4 | 19 ÷ 18 = 1 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 71 | 10437 |
| 77 and 35 | 385 |
| 118 and 77 | 9086 |
| 169 and 35 | 5915 |
| 37 and 66 | 2442 |