Least Common Multiple (LCM) of 86 and 148
The least common multiple (LCM) of 86 and 148 is 6364.
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 148?
First, calculate the GCD of 86 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 148 = 0 remainder 86 |
| 2 | 148 ÷ 86 = 1 remainder 62 |
| 3 | 86 ÷ 62 = 1 remainder 24 |
| 4 | 62 ÷ 24 = 2 remainder 14 |
| 5 | 24 ÷ 14 = 1 remainder 10 |
| 6 | 14 ÷ 10 = 1 remainder 4 |
| 7 | 10 ÷ 4 = 2 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 29 | 4959 |
| 134 and 164 | 10988 |
| 129 and 85 | 10965 |
| 99 and 108 | 1188 |
| 166 and 113 | 18758 |