Least Common Multiple (LCM) of 115 and 153
The least common multiple (LCM) of 115 and 153 is 17595.
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 115 and 153?
First, calculate the GCD of 115 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 153 = 0 remainder 115 |
| 2 | 153 ÷ 115 = 1 remainder 38 |
| 3 | 115 ÷ 38 = 3 remainder 1 |
| 4 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 78 | 6864 |
| 91 and 123 | 11193 |
| 67 and 132 | 8844 |
| 112 and 147 | 2352 |
| 64 and 157 | 10048 |