Least Common Multiple (LCM) of 154 and 149
The least common multiple (LCM) of 154 and 149 is 22946.
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 154 and 149?
First, calculate the GCD of 154 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 149 = 1 remainder 5 |
| 2 | 149 ÷ 5 = 29 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 131 | 14672 |
| 150 and 156 | 3900 |
| 86 and 22 | 946 |
| 33 and 107 | 3531 |
| 74 and 118 | 4366 |