Least Common Multiple (LCM) of 147 and 85
The least common multiple (LCM) of 147 and 85 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 147 and 85?
First, calculate the GCD of 147 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 85 = 1 remainder 62 |
| 2 | 85 ÷ 62 = 1 remainder 23 |
| 3 | 62 ÷ 23 = 2 remainder 16 |
| 4 | 23 ÷ 16 = 1 remainder 7 |
| 5 | 16 ÷ 7 = 2 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 75 | 12450 |
| 50 and 114 | 2850 |
| 23 and 150 | 3450 |
| 165 and 76 | 12540 |
| 167 and 34 | 5678 |