Least Common Multiple (LCM) of 174 and 84
The least common multiple (LCM) of 174 and 84 is 2436.
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 174 and 84?
First, calculate the GCD of 174 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 84 = 2 remainder 6 |
| 2 | 84 ÷ 6 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 121 | 16819 |
| 115 and 147 | 16905 |
| 78 and 90 | 1170 |
| 141 and 27 | 1269 |
| 170 and 137 | 23290 |