Least Common Multiple (LCM) of 74 and 110
The least common multiple (LCM) of 74 and 110 is 4070.
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 74 and 110?
First, calculate the GCD of 74 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 110 = 0 remainder 74 |
| 2 | 110 ÷ 74 = 1 remainder 36 |
| 3 | 74 ÷ 36 = 2 remainder 2 |
| 4 | 36 ÷ 2 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 106 | 4240 |
| 21 and 82 | 1722 |
| 146 and 114 | 8322 |
| 137 and 96 | 13152 |
| 180 and 138 | 4140 |