Least Common Multiple (LCM) of 149 and 100
The least common multiple (LCM) of 149 and 100 is 14900.
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 100?
First, calculate the GCD of 149 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 100 = 1 remainder 49 |
| 2 | 100 ÷ 49 = 2 remainder 2 |
| 3 | 49 ÷ 2 = 24 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 161 | 20930 |
| 147 and 41 | 6027 |
| 179 and 196 | 35084 |
| 19 and 59 | 1121 |
| 154 and 77 | 154 |