Least Common Multiple (LCM) of 149 and 158
The least common multiple (LCM) of 149 and 158 is 23542.
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 158?
First, calculate the GCD of 149 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 158 = 0 remainder 149 |
| 2 | 158 ÷ 149 = 1 remainder 9 |
| 3 | 149 ÷ 9 = 16 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 155 | 18910 |
| 90 and 200 | 1800 |
| 180 and 181 | 32580 |
| 140 and 132 | 4620 |
| 66 and 59 | 3894 |