Least Common Multiple (LCM) of 155 and 169
The least common multiple (LCM) of 155 and 169 is 26195.
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 155 and 169?
First, calculate the GCD of 155 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 169 = 0 remainder 155 |
| 2 | 169 ÷ 155 = 1 remainder 14 |
| 3 | 155 ÷ 14 = 11 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 72 | 2088 |
| 34 and 53 | 1802 |
| 82 and 22 | 902 |
| 15 and 101 | 1515 |
| 21 and 45 | 315 |