Least Common Multiple (LCM) of 149 and 54
The least common multiple (LCM) of 149 and 54 is 8046.
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 54?
First, calculate the GCD of 149 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 54 = 2 remainder 41 |
| 2 | 54 ÷ 41 = 1 remainder 13 |
| 3 | 41 ÷ 13 = 3 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 64 | 704 |
| 170 and 157 | 26690 |
| 138 and 151 | 20838 |
| 69 and 13 | 897 |
| 114 and 180 | 3420 |