Least Common Multiple (LCM) of 149 and 78
The least common multiple (LCM) of 149 and 78 is 11622.
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 78?
First, calculate the GCD of 149 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 78 = 1 remainder 71 |
| 2 | 78 ÷ 71 = 1 remainder 7 |
| 3 | 71 ÷ 7 = 10 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 76 | 8132 |
| 181 and 25 | 4525 |
| 109 and 72 | 7848 |
| 181 and 106 | 19186 |
| 105 and 119 | 1785 |