Least Common Multiple (LCM) of 73 and 110
The least common multiple (LCM) of 73 and 110 is 8030.
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 73 and 110?
First, calculate the GCD of 73 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 110 = 0 remainder 73 |
| 2 | 110 ÷ 73 = 1 remainder 37 |
| 3 | 73 ÷ 37 = 1 remainder 36 |
| 4 | 37 ÷ 36 = 1 remainder 1 |
| 5 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 176 | 2640 |
| 107 and 76 | 8132 |
| 160 and 172 | 6880 |
| 18 and 178 | 1602 |
| 88 and 114 | 5016 |