Least Common Multiple (LCM) of 155 and 153
The least common multiple (LCM) of 155 and 153 is 23715.
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 153?
First, calculate the GCD of 155 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 153 = 1 remainder 2 |
| 2 | 153 ÷ 2 = 76 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 197 | 13987 |
| 72 and 16 | 144 |
| 133 and 137 | 18221 |
| 81 and 29 | 2349 |
| 139 and 109 | 15151 |