Least Common Multiple (LCM) of 74 and 134
The least common multiple (LCM) of 74 and 134 is 4958.
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 134?
First, calculate the GCD of 74 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 134 = 0 remainder 74 |
| 2 | 134 ÷ 74 = 1 remainder 60 |
| 3 | 74 ÷ 60 = 1 remainder 14 |
| 4 | 60 ÷ 14 = 4 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 17 | 1921 |
| 47 and 52 | 2444 |
| 190 and 151 | 28690 |
| 109 and 25 | 2725 |
| 40 and 120 | 120 |