Least Common Multiple (LCM) of 174 and 116
The least common multiple (LCM) of 174 and 116 is 348.
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 116?
First, calculate the GCD of 174 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 116 = 1 remainder 58 |
| 2 | 116 ÷ 58 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 74 | 1776 |
| 32 and 53 | 1696 |
| 136 and 71 | 9656 |
| 168 and 114 | 3192 |
| 109 and 67 | 7303 |