Least Common Multiple (LCM) of 151 and 85
The least common multiple (LCM) of 151 and 85 is 12835.
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 85?
First, calculate the GCD of 151 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 85 = 1 remainder 66 |
| 2 | 85 ÷ 66 = 1 remainder 19 |
| 3 | 66 ÷ 19 = 3 remainder 9 |
| 4 | 19 ÷ 9 = 2 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 59 | 2950 |
| 78 and 87 | 2262 |
| 108 and 23 | 2484 |
| 42 and 129 | 1806 |
| 174 and 41 | 7134 |