Least Common Multiple (LCM) of 169 and 27
The least common multiple (LCM) of 169 and 27 is 4563.
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 169 and 27?
First, calculate the GCD of 169 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 27 = 6 remainder 7 |
| 2 | 27 ÷ 7 = 3 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 43 | 7740 |
| 70 and 69 | 4830 |
| 72 and 120 | 360 |
| 179 and 74 | 13246 |
| 184 and 50 | 4600 |