Least Common Multiple (LCM) of 85 and 147
The least common multiple (LCM) of 85 and 147 is 12495.
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 85 and 147?
First, calculate the GCD of 85 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 147 = 0 remainder 85 |
| 2 | 147 ÷ 85 = 1 remainder 62 |
| 3 | 85 ÷ 62 = 1 remainder 23 |
| 4 | 62 ÷ 23 = 2 remainder 16 |
| 5 | 23 ÷ 16 = 1 remainder 7 |
| 6 | 16 ÷ 7 = 2 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 169 | 23829 |
| 110 and 126 | 6930 |
| 53 and 15 | 795 |
| 59 and 155 | 9145 |
| 20 and 126 | 1260 |