Least Common Multiple (LCM) of 74 and 35
The least common multiple (LCM) of 74 and 35 is 2590.
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 35?
First, calculate the GCD of 74 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 35 = 2 remainder 4 |
| 2 | 35 ÷ 4 = 8 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 143 | 14300 |
| 175 and 18 | 3150 |
| 159 and 112 | 17808 |
| 18 and 161 | 2898 |
| 27 and 124 | 3348 |