Least Common Multiple (LCM) of 149 and 55
The least common multiple (LCM) of 149 and 55 is 8195.
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 55?
First, calculate the GCD of 149 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 55 = 2 remainder 39 |
| 2 | 55 ÷ 39 = 1 remainder 16 |
| 3 | 39 ÷ 16 = 2 remainder 7 |
| 4 | 16 ÷ 7 = 2 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 27 | 2781 |
| 122 and 33 | 4026 |
| 184 and 152 | 3496 |
| 55 and 173 | 9515 |
| 112 and 94 | 5264 |