Least Common Multiple (LCM) of 151 and 115
The least common multiple (LCM) of 151 and 115 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 151 and 115?
First, calculate the GCD of 151 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 115 = 1 remainder 36 |
| 2 | 115 ÷ 36 = 3 remainder 7 |
| 3 | 36 ÷ 7 = 5 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 23 | 759 |
| 52 and 25 | 1300 |
| 126 and 83 | 10458 |
| 99 and 75 | 2475 |
| 146 and 149 | 21754 |