Least Common Multiple (LCM) of 88 and 174
The least common multiple (LCM) of 88 and 174 is 7656.
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 88 and 174?
First, calculate the GCD of 88 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 174 = 0 remainder 88 |
| 2 | 174 ÷ 88 = 1 remainder 86 |
| 3 | 88 ÷ 86 = 1 remainder 2 |
| 4 | 86 ÷ 2 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 106 | 8904 |
| 144 and 188 | 6768 |
| 59 and 185 | 10915 |
| 174 and 125 | 21750 |
| 162 and 152 | 12312 |