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 |
|---|---|
| 163 and 97 | 15811 |
| 125 and 157 | 19625 |
| 130 and 114 | 7410 |
| 149 and 84 | 12516 |
| 160 and 162 | 12960 |