Least Common Multiple (LCM) of 65 and 151
The least common multiple (LCM) of 65 and 151 is 9815.
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 65 and 151?
First, calculate the GCD of 65 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 65 ÷ 151 = 0 remainder 65 |
| 2 | 151 ÷ 65 = 2 remainder 21 |
| 3 | 65 ÷ 21 = 3 remainder 2 |
| 4 | 21 ÷ 2 = 10 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 192 | 14016 |
| 74 and 13 | 962 |
| 183 and 172 | 31476 |
| 102 and 11 | 1122 |
| 42 and 200 | 4200 |