Least Common Multiple (LCM) of 169 and 150
The least common multiple (LCM) of 169 and 150 is 25350.
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 150?
First, calculate the GCD of 169 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 150 = 1 remainder 19 |
| 2 | 150 ÷ 19 = 7 remainder 17 |
| 3 | 19 ÷ 17 = 1 remainder 2 |
| 4 | 17 ÷ 2 = 8 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 49 | 7154 |
| 93 and 160 | 14880 |
| 179 and 63 | 11277 |
| 64 and 194 | 6208 |
| 97 and 155 | 15035 |