Least Common Multiple (LCM) of 147 and 170
The least common multiple (LCM) of 147 and 170 is 24990.
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 170?
First, calculate the GCD of 147 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 170 = 0 remainder 147 |
| 2 | 170 ÷ 147 = 1 remainder 23 |
| 3 | 147 ÷ 23 = 6 remainder 9 |
| 4 | 23 ÷ 9 = 2 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 140 | 7420 |
| 51 and 98 | 4998 |
| 110 and 24 | 1320 |
| 184 and 41 | 7544 |
| 113 and 138 | 15594 |