Least Common Multiple (LCM) of 109 and 121
The least common multiple (LCM) of 109 and 121 is 13189.
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 109 and 121?
First, calculate the GCD of 109 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 109 ÷ 121 = 0 remainder 109 |
| 2 | 121 ÷ 109 = 1 remainder 12 |
| 3 | 109 ÷ 12 = 9 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 60 | 480 |
| 170 and 189 | 32130 |
| 159 and 96 | 5088 |
| 178 and 113 | 20114 |
| 88 and 174 | 7656 |