Least Common Multiple (LCM) of 84 and 74
The least common multiple (LCM) of 84 and 74 is 3108.
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 84 and 74?
First, calculate the GCD of 84 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 74 = 1 remainder 10 |
| 2 | 74 ÷ 10 = 7 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 170 | 4760 |
| 86 and 155 | 13330 |
| 132 and 15 | 660 |
| 193 and 118 | 22774 |
| 196 and 45 | 8820 |