Least Common Multiple (LCM) of 147 and 169
The least common multiple (LCM) of 147 and 169 is 24843.
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 169?
First, calculate the GCD of 147 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 169 = 0 remainder 147 |
| 2 | 169 ÷ 147 = 1 remainder 22 |
| 3 | 147 ÷ 22 = 6 remainder 15 |
| 4 | 22 ÷ 15 = 1 remainder 7 |
| 5 | 15 ÷ 7 = 2 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 84 | 3276 |
| 198 and 39 | 2574 |
| 169 and 71 | 11999 |
| 170 and 132 | 11220 |
| 140 and 120 | 840 |