Least Common Multiple (LCM) of 154 and 169
The least common multiple (LCM) of 154 and 169 is 26026.
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 154 and 169?
First, calculate the GCD of 154 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 169 = 0 remainder 154 |
| 2 | 169 ÷ 154 = 1 remainder 15 |
| 3 | 154 ÷ 15 = 10 remainder 4 |
| 4 | 15 ÷ 4 = 3 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 110 | 8030 |
| 169 and 123 | 20787 |
| 17 and 109 | 1853 |
| 26 and 141 | 3666 |
| 134 and 195 | 26130 |