Least Common Multiple (LCM) of 110 and 141
The least common multiple (LCM) of 110 and 141 is 15510.
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 110 and 141?
First, calculate the GCD of 110 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 141 = 0 remainder 110 |
| 2 | 141 ÷ 110 = 1 remainder 31 |
| 3 | 110 ÷ 31 = 3 remainder 17 |
| 4 | 31 ÷ 17 = 1 remainder 14 |
| 5 | 17 ÷ 14 = 1 remainder 3 |
| 6 | 14 ÷ 3 = 4 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 47 | 1739 |
| 97 and 163 | 15811 |
| 121 and 183 | 22143 |
| 46 and 70 | 1610 |
| 101 and 156 | 15756 |