Least Common Multiple (LCM) of 155 and 149
The least common multiple (LCM) of 155 and 149 is 23095.
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 155 and 149?
First, calculate the GCD of 155 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 149 = 1 remainder 6 |
| 2 | 149 ÷ 6 = 24 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 96 | 672 |
| 20 and 47 | 940 |
| 51 and 200 | 10200 |
| 18 and 119 | 2142 |
| 133 and 79 | 10507 |