Least Common Multiple (LCM) of 149 and 154
The least common multiple (LCM) of 149 and 154 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 149 and 154?
First, calculate the GCD of 149 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 154 = 0 remainder 149 |
| 2 | 154 ÷ 149 = 1 remainder 5 |
| 3 | 149 ÷ 5 = 29 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 196 | 7840 |
| 18 and 15 | 90 |
| 108 and 48 | 432 |
| 175 and 134 | 23450 |
| 120 and 116 | 3480 |