Least Common Multiple (LCM) of 149 and 99
The least common multiple (LCM) of 149 and 99 is 14751.
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 99?
First, calculate the GCD of 149 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 99 = 1 remainder 50 |
| 2 | 99 ÷ 50 = 1 remainder 49 |
| 3 | 50 ÷ 49 = 1 remainder 1 |
| 4 | 49 ÷ 1 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 175 | 2100 |
| 24 and 155 | 3720 |
| 122 and 135 | 16470 |
| 182 and 84 | 1092 |
| 32 and 125 | 4000 |