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 |
|---|---|
| 199 and 58 | 11542 |
| 74 and 183 | 13542 |
| 101 and 176 | 17776 |
| 46 and 23 | 46 |
| 194 and 194 | 194 |