Least Common Multiple (LCM) of 86 and 151
The least common multiple (LCM) of 86 and 151 is 12986.
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 86 and 151?
First, calculate the GCD of 86 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 151 = 0 remainder 86 |
| 2 | 151 ÷ 86 = 1 remainder 65 |
| 3 | 86 ÷ 65 = 1 remainder 21 |
| 4 | 65 ÷ 21 = 3 remainder 2 |
| 5 | 21 ÷ 2 = 10 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 89 | 12994 |
| 136 and 90 | 6120 |
| 165 and 114 | 6270 |
| 71 and 10 | 710 |
| 124 and 46 | 2852 |