Least Common Multiple (LCM) of 115 and 151
The least common multiple (LCM) of 115 and 151 is 17365.
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 151?
First, calculate the GCD of 115 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 151 = 0 remainder 115 |
| 2 | 151 ÷ 115 = 1 remainder 36 |
| 3 | 115 ÷ 36 = 3 remainder 7 |
| 4 | 36 ÷ 7 = 5 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 123 | 10824 |
| 13 and 134 | 1742 |
| 56 and 37 | 2072 |
| 143 and 117 | 1287 |
| 189 and 110 | 20790 |