Least Common Multiple (LCM) of 149 and 102
The least common multiple (LCM) of 149 and 102 is 15198.
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 102?
First, calculate the GCD of 149 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 102 = 1 remainder 47 |
| 2 | 102 ÷ 47 = 2 remainder 8 |
| 3 | 47 ÷ 8 = 5 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 183 | 13542 |
| 154 and 142 | 10934 |
| 123 and 198 | 8118 |
| 10 and 90 | 90 |
| 118 and 110 | 6490 |